The length and width of a rectangle added together is 124. If the width is subtracted from the length it equals 32. Find the length and width of this rectangle.

Question

asked Aug 27, 2022 157k views

1 Answer

Hendra Bunyamin · Answer 1 · 2022-08-31T09:43:33+0000

Answer:

The length of rectangle is 78 and width is 46

Explanation:

Let l be the length of rectangle and w be the width of rectangle

Then according to given statement

"The length and width of a rectangle added together is 124"

l+w = 124 Eqn 1

And

l-w = 32 Eqn 2

The equation form a system of linear equation in two variables. We can use different methods to solve he system.

We will use the elimination method

Adding equation 1 and equation 2

$l+w+l-w = 124+32\\2l = 156\\(2l)/(2) = (156)/(2)\\l = 78$

Putting l = 78 in equation 1

$78+w = 124\\w = 124-78\\w = 46$

Hence,

The length of rectangle is 78 and width is 46