Matematika 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.​

sabrynamoenulv – April 04, 2023

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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