Question

10. The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length and the width of the parallelogram.

Answer 1

Let,
Length = a
Width= b

a-b=4 --eq(1)
since perimeter of parallelogram P=2(a+b)
therefore
2a+2b=72 --eq(2)

eq(1)=>
a=b+4

substitute the value of a in eq 2

Eq(2)=>
2(b+4)+2b=72
2b+8+2b=72
4b=72-8
4b=64
b=16

Substitue the value of b in eq(1)

Eq(1)=>
a-16=4
a=20