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We have to set up 2 different equations if we are to solve for 2 unknowns. The first equation is x = y + 4. One number (x) is (=) 4 more than another (y + 4). Since we have determined that x is larger (cuz it's 4 more than y), when we set up their difference, we are going to subtract y from x cuz x is bigger. The second equation then is

. In our first equation we said that x = y + 4, so let's sub that value in for x in the second equation:

. Expand that binomial to get

. Of course the y squared terms cancel each other out leaving us with 8y + 16 = 64. Solving for y we get that y = 6. Subbing 6 in for y in our first equation, x = 6 + 4 tells us that x = 10. Yay!
width = 10 feet → C
let l represent the length then width = l - 8
perimeter = 2(length + width) = 2(l + l - 8)
given perimeter = 56 then
2(2l - 8)= 56
divide both sides by 2
2l - 8 =
= 28
add 8 to both sides
2l = 28 + 8 = 36
divide both sides by 2
l =
= 18
thus length = 18 feet and width = 18 - 8 = 10 feet
Answer:
27
Step-by-step explanation:
First, you need to find the factor that coverts 8 to 72. I look as these problems as 3 to x and 8 to 72. To do this, divide 72 by 8, and that's what you'd multiply 3 with.
72/8 = 9
9 x 3 = 27