Q160 of 160 Page 144

Quadrilateral EFGH is a rectangular in which J is the point of intersection of the diagonals. Find the value of x if JF = 8x + 4 and EG = 24x-8.

By the property of rectangle, the length of both the diagonals are equal.

Hence, FH = EG

2(JF) = EG

2(8x + 4) = (24x-8)

16x + 8 = 24x-8

8x = 16

x = 2

156

A playground is in the form of a rectangular ATEF, two players are standing at the points of F and B where EF = EB. Find the values of x and y.

157

In the following figure of a ship. ABDH and CEFG are two parallelograms. Find the value of x.

158

A rangoli has been drawn on a floor of house. ABCD and PQRS both are in the shape of a rhombus ABCD.

159

ABCDE is a regular pentagon. The bisector of angle A meets the side CD at M. Find AMC