Question

A land is in shape of rhombus.The perimeter of the land is160 m and of the diagonal is 48 m.Find the area of parallelogram

Answer 1

Answer : Area is 1536 m (square)

STEP BY STEP SOLUTION

Perimeter = 160 m
Side = 160 / 4 = 40 m
Diagonal = 48 m
Half diagonal = 48/2 = 24 m

A right angled triangle is formed whose hypotneuse is 40 m and one length is 24 m.
By Pythagoras theorem -
Other side is 32 m.

Area = 1/2 ▪d1 ▪d2
= 1/2 × 48 × 64
= 24 ×64
= 1536 m(square)

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