Question

A rectangular piece of metal has an area of 112 square centimeters. Its perimeter is 46 centimeters. What are the dimensions of the piece?

Answer 1

Let the length of rectabgle be l and width of rectangle be b.

The equation for the area of rectangle is,

$l\cdot b=112$

The equation for perimeter of rectangle is,

$\begin{gathered} 2(l+b)=46 \\ l+b=23 \\ l=23-b \end{gathered}$

Substitute 23 - b for l in the equation lb