SOLUTION: a square and rectangle have the same perimeter. the square has 1 side that is 8x units. the rectangle has a width of 10 units and length of (5x + 8) units. what is the perimeter

Algebra ->  Rectangles -> SOLUTION: a square and rectangle have the same perimeter. the square has 1 side that is 8x units. the rectangle has a width of 10 units and length of (5x + 8) units. what is the perimeter       Log On


   

Question 1021988: a square and rectangle have the same perimeter. the square has 1 side that is 8x units. the rectangle has a width of 10 units and length of (5x + 8) units. what is the perimeter of the rectangle and square
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
8x for the square, and w and L for the rectangle. The reason why 8x is because the description gives it that way for the square.

system%284%2A8x=2w%2B2L%2Cw=10%2CL=5x%2B8%29

Simplify the perimeter equation and substitute for w and for L in this perimeter equation.
16x=w%2BL
-
16x=10%2B5x%2B8
11x=18
highlight%28x=18%2F11%29


Use x to find value of L.
L=5%2818%2F11%29%2B8
L=%285%2A18%2B88%29%2F11
highlight%28L=178%2F11%29

The solution here did not yet include finding the perimeters of the two figures, but you can now do this because w, x, and L are now all found and known.