The figure is made up of a square and trapezium. The perimeter of the figure is 60 cm. Find the area of the figure. Use the steps.
Jawab:
The area of the figure is 188 cm².
Penjelasan dengan langkah-langkah:
Form that figure, we know that A and C are both squares. Therefore, the length of the rightmost side of the figure is 8 cm.
Let s be the length of C’s sides.
Given that the perimeter of the figure is 60 cm, we can get:
(14 + 2×8 + 3s) cm = 60 cm
⇔ 14 + 16 + 3s = 60
⇔ 30 + 3s = 60
⇔ 3s = 60 – 30
⇔ 3s = 30
⇔ s = 30/3
⇔ s = 10 cm
Let A be the area of the figure, we can find:
A = the sum of all areas
⇔ A = area of square A + area of trapezium
⇔ A = s² + ½(base+top)×height
⇔ A = 10² + ½(14+8)×8
⇔ A = 100 + 11×8
⇔ A = 100 + 88
⇔ A = 188 cm²
CONCLUSION
∴ The area of the figure is 188 cm².
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