Question

D. 112B. 7013. The length of a rectangle is 5 cm less than 3 times the width. Theperimeter of the rectangle is 94 cm. What is the length of the rectangle?A 31 cmC. 33 cm

Answer 1

Given that

The length of a rectangle is 5 cm less than 3 times the width. The perimeter of the rectangle is 94 cm.

Explanation -

The perimeter of the rectangle is 94 cm.

Let the length be l and the breadth be b.

And the formula for the perimeter is

$P=2(l+b)$

Now according to the question

$l=3b-5$

On substituting the values we have

$\begin{gathered} 94=2(3b-5+b) \\ 94=2(4b-5) \\ 4b-5=\frac{94}{2} \\ 4b-5=47 \\ 4b=47+5=52 \\ b=\frac{52}{4} \\ b=13 \end{gathered}$

For length