If a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet, what is the ...
If a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet, what is the length of each of the shorter sides?
Answer/Solution
7
Steps/Work
This question can be solved algebraically or by TESTing THE ANSWERS.
We're told that a rectangle has an area of 91 and a perimeter of 40. We're asked for the length of one of the SHORTER sides of the rectangle.
Since the answers are all INTEGERS, and the area is 91, the shorter side will almost certainly be less than 10 (since 10x10 = 100, but we're NOT dealing with a square).
Let's TEST Answer b: 7
IF...
The shorter side = 7...
The area = 91....91/7 = 13 = the longer side
Perimeter = 7+7+13+13 = 40
B
We're told that a rectangle has an area of 91 and a perimeter of 40. We're asked for the length of one of the SHORTER sides of the rectangle.
Since the answers are all INTEGERS, and the area is 91, the shorter side will almost certainly be less than 10 (since 10x10 = 100, but we're NOT dealing with a square).
Let's TEST Answer b: 7
IF...
The shorter side = 7...
The area = 91....91/7 = 13 = the longer side
Perimeter = 7+7+13+13 = 40
B