Question

The length of a parallelogram is five less than 4 times the width. The perimeter of a parallelogram is $100$ m. Find the length of a parallelogram

• A. 29 m
• B. 11 m
• C. 39 m
• D. 40 m

Answer 1

The correct option is C 39 m

Let,
Width of the parallelogram be x.

Given: The length of a parallelogram is five less than 4 times the width

Hence, The length of a parallelogram $=4\times x-5=4x-5$
Perimeter of a parallelogram $=100$ m


2 ( length + width) = 100

On substitution,

$2(4x-5+x)=100$

$5x-5=\frac{100}{2}=50$

$5x=50+5=55$

$x=\frac{55}{5}=11$

Hence, Width of the parallelogram $=x=11$ m

Length of the parallelogram
$=4\times x-5=4\times 11-5=44-5=39$

Option (c) is correct.