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