A rectangle box is 3 times as long as wide. The area is 75 square meters. What is the perimeter of the box.

Question

Homework 7th grade math

Answer 1

Equation 1:  L = 3*W

Equation 2: 75 = L*W

Equation 3: P = 2*L + 2*W

 

Substitute Eq 1 into Eq 2 to get:

 

75 = 3*W²

 

Solve for W:

 

W = 5

 

Plug W =5 into Equation 1 and solve for L:

 

L = 3*5 = 15

 

Plug L = 15 and W = 5 into Eq 3 to solve for the perimeter P:

 

P = 2*5 + 2*15 = 40