Question

A theatre in a town is built in the form of a kite. It's perimeter is 100 m. If one of the sides measure 20 m. Find the other three sides.

• A. $20m,30mand30m$
• B. $20m,40mand40m$
• C. $20m,20mand30m$
• D. $20m,20mand40m$

Answer 1

The correct option is A $20m,30mand30m$

Given,
Perimeter = 100 m
Length of one side = $x$ = 20 m
We know that, adjacent sides of a kite are of equal length.
Let the length of other side = $y$
Now, perimeter of kite = $2(x+y)$
$\Rightarrow 2(x+y)=100$
$\Rightarrow 2(20+y)=100$
$\Rightarrow 20+y=50$
$\Rightarrow y=30$
Hence, the others sides are 20 m, 30 m and 30 m.