# Find the length of a rectangle lot with a perimeter of 82 meters if the length is 7 meters more then the width?

##### 2 Answers

24 meters

#### Explanation:

If the short side of the rectangle = s, then the long side would be s+7.

The total perimeter then would be the sum of all 4 sides, where the sids are equal in pairs, i.e.

Perimeter = s+(s+7)+s+(s+7) = 4s+14 = 82

Therefore 4s=82-14 = 68

so s=17

As this is the short side, the long side is s+7=17+7=24

The length of the rectangle, therefore, is 24 meters

The length of the rectangle lot is

#### Explanation:

To start, I'll set up an equation to help solve this...

Distribute the

And combine like terms to get:

Finally divide both sides by

I'll check my work by plugging this info back in to the original equation to see if it works:

The equation works, meaning the length is