a rectangle has a length of 15 inches less than 5 times it’s width. If the area of the rectangle is 2750 square inches. what is the length of the rectangle
1 answer:
let L = length and let W = width.
Use the equations 2L + 2W = 2750
and L = 5W + 15
Then do the steps as follows -
1. Plug the equation for what L equals into the first equation
2(5W+15) + 2W = 2750
2. Then distribute the 2
10W + 30 + 2W = 2750
3. Then add like terms
12W + 30 = 2750
4. Then subtract 30 from both sides
12W = 2720
5. Divide by 12 on both sides
W = 226.67
6. Then plug that into the second equation
L = 5(226.67) + 15
L = 1148.35 should be the answer
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