The length of a rectangle is 10 inches longer than the width. The perimeter is 56 inches. Find the length and the width of the rectangle

Question

asked May 27, 2021 81.7k views

1 Answer

Timmcliu · Answer 1 · 2021-06-01T12:11:54+0000

Answer:

$Length=19\,inches\\\\Width=9\,inches$

Explanation:

Let, the length of the rectangle be 'L',

Width of the rectangle be 'W'

$L=(W+10)\,inches$

Perimeter of the rectangle=
$56\,inches$

Perimeter of the rectangle=
2(Length+Width)

$56=2(W+10+W)\\\\(56)/(2) =W+10+W\\\\28=2W+10\\\\28-10=2W\\\\18=2W\\\\W=(18)/(2)\\\\ W=9\,inches$

As,

$L=(W+10)\,inches$

$L=9+10\\\\L=19\,inches$

$Length=19\,inches\\\\Width=9\,inches$