Question

In the following figure, find the area of the shaded portion:




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Answer 1

Answer:

FOR RECTANGLE (ABCD)

L = 18cm

B = 10cm

A = L×B

= 18 × 10

= 180 $cm^{2}$

FOR TRIANGLE 1 (Δ AEF)

Base = 6cm

Height = 10cm

A = $\frac{1}{2}$ × B × H

= $\frac{1}{2}$ × 6 × 10

= 30 $cm^{2}$

FOR TRIANGLE 2 (Δ BEC)

Base = 10cm

Height = 8cm

A = $\frac{1}{2}$ × B × H

= $\frac{1}{2}$ × 8 × 10

= 40$cm^{2}$

AREA OF SHADED REGION = 180 - (40 + 30)

= 180 - 70

= 110$cm^{2}$

Step-by-step explanation:

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