The perimeter of a rectangle is 280 meters. The width is 26 meters less than the length. Find the length and width.

Respuesta :

Answer:

The length is 83 and the width is 57

Step-by-step explanation:

The width is 26 meters less than the length, so we'll represent the width with: L-26. Since there are 2 widths to account for, we'll multiply this by 2.

Equation looks like this so far: 2(L-26)

Then, add the 2 lengths and set the expression equal to 280.

Equation: 2(L-26)+2L=280

Distribute the 2 in the first term, making the equation look like:

2L-52+2L=280

Add the 52 to both sides of the equation

4L=332

Divide by 4 on both sides

L=332/4=83

L=83

Width is 26 meters less, so 83-26=57

W=57