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The rectangle shown has a perimeter of 136 cm and the given area. Its length is 8 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Respuesta :

mathmate

Answer:

Length = 58, width = 10

Step-by-step explanation:

Given:

Perimeter = 136 cm

Length = 5 * width + 8

Find dimensions of rectangle

Solution:

Write two equations

L = length, W = width

2(L+W) = 136 ......(1)

L = 5W+8 ............(2)

substitute (2) in (1)

2(5W+8 + W) = 136

6W+8 = 136/2 = 68

6W = 68-8 = 60

W = 60/6 = 10

L = 5W+8 = 5(10)+8 = 58

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