![In the fig. CD = DE, BC = 4 cm, AE = 3 cm, ∠A = 90°. ABCD is a quadrilateral and EFGB is a square](https://www.gkseries.com/blog/wp-content/uploads/2024/03/In-the-fig.-CD-DE-BC-4-cm-AE-3-cm-∠A-90°.-ABCD-is-a-quadrilateral-and-EFGB-is-a-square.jpg)
In the fig. CD = DE, BC = 4 cm, AE = 3 cm, ∠A = 90°. ABCD is a quadrilateral and EFGB is a square. Find the area of the square EFGB?
![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-208-1024x980.png)
a) 4 cm²
b) 16 cm²
c) 2 cm²
d) 36 cm²
Sol:
Construction- join BD
Let AD = y, EB = x
![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-209-1024x623.png)
![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-210-1024x251.png)
In the fig. CD = DE, BC = 4 cm, AE = 3 cm, ∠A = 90°. ABCD is a quadrilateral and EFGB is a square. Find the area of the square EFGB?
a) 4 cm²
b) 16 cm²
c) 2 cm²
d) 36 cm²
Sol:
Construction- join BD
Let AD = y, EB = x
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