Example Question - rectangle dimensions
Here are examples of questions we've helped users solve.
Finding the Total Area of a Composite Rectangular Figure
The image shows a composite rectangular figure, and we are asked to find its area. The shape is somewhat like a staircase, composed of three rectangles put together. To find the total area, we can calculate the area of each rectangle and then sum them up. Looking closely at the image, though blurry, the dimensions of the rectangles are given: 1. The top right rectangle has dimensions 5 cm (width) and 6 cm (height). 2. The middle rectangle has dimensions 8 cm (width, same as the total width at the bottom) and 3 cm (height). 3. The bottom left rectangle is a square with dimensions 3 cm by 3 cm; its size can be inferred by the measurements given for the other parts of the figure. The area of each rectangle is found by multiplying its length by its width. Let's calculate each: 1. Top right rectangle: Area = width × height = 5 cm × 6 cm = 30 cm² 2. Middle rectangle: Area = width × height = 8 cm × 3 cm = 24 cm² 3. Bottom left square: Area = side × side = 3 cm × 3 cm = 9 cm² Now, we sum up the areas of all three rectangles to find the total area of the figure: Total area = Area of top right rectangle + Area of middle rectangle + Area of bottom left square Total area = 30 cm² + 24 cm² + 9 cm² = 63 cm² So, the area of the figure is 63 square centimeters.
Calculating Area of a Rectangle with Given Dimensions
The image shows a worksheet with a rectangle that is divided into units to help calculate its area. The rectangle's dimensions are labeled in parts. One side is labeled as "2 units" and the other side is partially labeled with "2 units" plus an additional half unit (noted as "1/2 unit"). To find the missing information and calculate the area, we will add the lengths of the sides together. The length is 2 units plus an additional half unit, which gives us 2.5 units. The width, clearly given, is 2 units. Now that we have both dimensions of the rectangle, we can calculate the area by multiplying the length by the width. The length of Emma's rectangle is 2.5 units, and the width is 2 units. Area = length × width Area = 2.5 units × 2 units Area = 5 square units So, the area of Emma's rectangle is 5 square units.
Calculating Area of a Rectangle
The image shows a sketch of a rectangle with its dimensions marked in units. The length of the rectangle is divided into two sections marked "2 units" and "2 units", indicating that the total length is 4 units. The width is not explicitly divided, but it is marked as "2 units". For Emma's Rectangle, we have the following information: Length: 2 units + 2 units = 4 units Width: 2 units To find the area of a rectangle, we multiply the length by the width: Area = Length × Width Area = 4 units × 2 units Calculating the area: Area = 8 square units So, Emma's Rectangle is 4 units long, 2 units wide, and has an area of 8 square units.
Calculation of Shaded Rectangle Area
Claro, para resolver esta pregunta primero necesitamos determinar las dimensiones del rectángulo sombreado. En la imagen se puede ver que el rectángulo se encuentra dentro de un rectángulo más grande con dimensiones en el lado izquierdo "c - d" y en el lado inferior "b". La altura "x" del rectángulo sombreado corresponde a la altura total del rectángulo más grande menos la parte no sombreada, que es "c - d". Entonces, si la altura del rectángulo más grande es "c", la altura del rectángulo sombreado es "c - (c - d)". Esto se simplifica a "d". La anchura del rectángulo sombreado es la misma que la del rectángulo más grande, es decir, "b". Ahora que conocemos las dimensiones del rectángulo sombreado, podemos calcular su área multiplicando la anchura por la altura: Área = anchura × altura Área = b × d Así que la respuesta es que el área del rectángulo sombreado es "b × d".
Calculating the Area of a Rectangle
The image shows a rectangle, and it seems you might want to calculate its area. The formula to calculate the area of a rectangle is: Area = length × width However, the image does not provide a direct question to answer. Assuming you are asked to calculate the area, based on the lengths provided in the image: Length = 6 cm Width = 4 cm So you would compute the area as follows: Area = 6 cm × 4 cm = 24 cm² Hence, the area of the rectangle is 24 square centimeters. If there's another specific question regarding the image, please provide the question, and I'll be glad to help you with it.
Solving for Rectangle Dimensions and Properties
The image shows a math problem related to a rectangle with the sides labeled as expressions in terms of x and y. To solve for x and y, we will use the properties of a rectangle, which state that opposite sides are equal. Therefore, we can set up the following equations based on the given expressions for each side: 1. The longer sides (length) of the rectangle are equal, so we have: 4x - y = 3x + 1 2. The shorter sides (width) of the rectangle are equal, so we have: x + 6y = 2x + 2 Now we'll solve these two equations simultaneously. From equation 1: 4x - y = 3x + 1 x - y = 1 (Subtract 3x from both sides) From equation 2: x + 6y = 2x + 2 6y = x + 2 (Subtract x from both sides) Since from equation 1 we have x - y = 1, we can rearrange this to find the value of y: y = x - 1 (Adding y to both sides and subtracting 1 from both sides) Now we substitute the value of y back into the second equation to find x: 6y = x + 2 6(x - 1) = x + 2 6x - 6 = x + 2 6x - x = 2 + 6 5x = 8 x = 8 / 5 x = 1.6 Now, we substitute the value of x back into the equation y = x - 1 to find y: y = 1.6 - 1 y = 0.6 Having found x and y, we can now calculate the area and the perimeter of the rectangle. To find the area (A), we use the formula A = length × width. We know the expressions of length and width in terms of x and y, so we substitute these values into the expressions: A = (4x - y) × (x + 6y) A = (4(1.6) - 0.6) × (1.6 + 6(0.6)) A = (6.4 - 0.6) × (1.6 + 3.6) A = 5.8 × 5.2 A = 30.16 square units To find the perimeter (P), we use the formula P = 2 × (length + width): P = 2 × ((4x - y) + (x + 6y)) P = 2 × ((4(1.6) - 0.6) + (1.6 + 6(0.6))) P = 2 × (6.4 - 0.6 + 1.6 + 3.6) P = 2 × (11.0) P = 22.0 units So the values of x and y are 1.6 and 0.6, respectively, the area of the rectangle is 30.16 square units, and the perimeter is 22.0 units.
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