Question

E
8 cm
2 cm
12 em
F
G
А
4 cm
B
find area of the following quadrilateral​

Answer 1

Explanation:

8th

Maths

Mensuration

Introduction to Mensuration

ABCD is a rectangle with AB...

MATHS

ABCDis a rectangle with AB=12 cm and BC=7 cm Point E is on AD with DE=2cm, Point P is on AB. How far to the right of point A should point P be placed so that the shaded area comprises exactly 40% of the area of the rectangle?

291896

A

8

B

8.4

C

8.2

D

8.6

MEDIUM

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ANSWER

Area of the rectangle ABCD=12×7=84sqcm.

Let AP=x cm. So, PB=(12−x) cm.

Area of shaded region =0.4×84=33.6 sq cm.

Area of triangle EAP=0.5×5×x=2.5x sq cm

Area of triangle CPB=0.5×7×(12−x)=42−3.5x sq cm

Sum of the area of triangles EAP and CPB = area of shaded region

2.5x+42−3.5x=33.6

42−x=33.6 or x=8.4cm

Point P should at 8.4 cm from vertex A.