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Question

In the figure ABCD and BEFG are two squares with side lengths 4 cm and 10 cm respectively. Find the area of the shaded region (sq. cm).
1209580_fd06ad641b324c3698706ab028ee14d0.png

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Solution

Given: AB=4cm
BE=10cm
F(14,10)
A(0,0)

Let A be the origin then equation of line AF

y=mxm=y2y1x2x1=140100

y=75x

for x=4 cmy=285cm which are co-ordinates of P.

P(4,285)

Area of APB

12×base×height=12×AB×BP

=12×A×285

=11.2 cm2.

1330280_1209580_ans_99b328c38cc04c2c9607e3134c8c1978.png

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