Example Question - perimeter calculation
Here are examples of questions we've helped users solve.
House Diagram - Area and Perimeter Calculation
The image shows a diagram of a house with different parts labeled and measurements given. The question in the image is not entirely clear due to the resolution, but it appears to include some mathematical formulas and asks to solve for given values of 'x' and 'y', possibly related to areas or perimeters. From what I can infer, the label "Area = ?" and "Perimeter = ?" suggests that the question is asking to calculate the area and the perimeter of the given shape. There are some formulas provided which seem to be: Area = \(l \times w + \frac{1}{2} \times (l \times h)\) And Perimeter = \(2 \times (l + w) + 2 \times (l + h)\) To solve these, we'd need specific measurements for length (l), width (w), and height (h). These measurements are supposed to be provided on the diagram, but due to the low resolution and cut-off text, they are unfortunately illegible in the provided image. If you can provide the required measurements for length, width, and height (if they are indeed what's being asked for), I can help you calculate the area and perimeter as specified by the formulas in the image. Alternatively, if you can upload a clearer image or provide the text in the question, I'll be able to give you a more precise solution.
Pattern Expansion and Perimeter Calculation
This question involves determining the perimeter of a pattern that is expanding according to a rule. Each new figure in the sequence is formed by adding rectangles to the previous figure, and these additions are highlighted in red in the image. We're given that the perimeters of the first four figures in the sequence are 4 cm, 8 cm, 20 cm, and 56 cm respectively. To find the perimeter of the "Figure 6", we need to identify the pattern by which the perimeters are increasing from one figure to the next: - From Figure 1 to Figure 2, the perimeter increases by 4 cm. - From Figure 2 to Figure 3, the perimeter increases by 12 cm (8 cm + 4 = 12 cm; 8 + 12 = 20). - From Figure 3 to Figure 4, the perimeter increases by 36 cm (20 cm + 3*12 = 56 cm). We can observe that the increment itself is multiplied by 3 each time: - Increment from Figure 1 to 2 is 4 cm. - Increment from Figure 2 to 3 is 12 cm (3 times the previous increment of 4 cm). - Increment from Figure 3 to 4 is 36 cm (3 times the previous increment of 12 cm). Using this pattern, we can calculate the increment from Figure 4 to Figure 5: - Increment from Figure 4 to 5 is 108 cm (3 times the previous increment of 36 cm). Now, let's add this increment to the perimeter of Figure 4: - Perimeter of Figure 5 = 56 cm + 108 cm = 164 cm. Now, we need to calculate the increment for the next figure, which will be 3 times 108 cm: - Increment from Figure 5 to 6 is 324 cm (3 times the previous increment of 108 cm). Finally, let's add this increment to the perimeter of Figure 5 to get the perimeter of Figure 6: - Perimeter of Figure 6 = 164 cm + 324 cm = 488 cm. Therefore, the perimeter of Figure 6 is 488 cm.
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