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Question

In rectangle ABCD, DE and BF are 2 cm and 5 cm respectively. If AB and BC are 12 cm and 10 cm respectively, then find area of shaded region


Your Answer
A
10 cm2
Your Answer
B
30 cm2
Correct Answer
C
80 cm2
Your Answer
D
120cm2

Solution

The correct option is B 80 cm2
Given : ABCD is a rectangle 
AB = 12 cm, BC = 10 cm
DE = 2 cm, BF = 5 cm

Area of rectangle = length×breadth
Area of rectangle ABCD = AB×BC
                                        = 12×10 = 120 cm2
 
Area of triangle = 12×base×height
Area of ABF = 12×AB×BF
=  12×12×5 = 6×5 = 30 cm2

Area of ADE = 12×DE×AD
=  12×10×2 = 5×2 = 10 cm2

Area of shaded region = area of rectangle ABCD - Area of ABF - Area of ADE
= 120 - 30 - 10 = 80 cm2
 

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