The area of a rectangular concrete patio is 70 square meters. the perimeter is 34 meters. what are the

The area of a rectangular concrete patio is 70 square meters. the perimeter is 34 meters. what are the dimensions of the patio? meters by meters submit

Related Posts

This Post Has 3 Comments

  1. 7 and 10 because

    perimeter you add all sides together like :

    7 +7 +10 +10

    14+20

    34 (which checks out)

    and then for area you multiply length and width and 7 x 10= 70 which checks out

    Step-by-step explanation:

  2. A = L * W
    A = 70

    70 = L * W

    P = 2(L + W)
    P = 34

    34 = 2(L + W)
    34/2 = L + W
    17 = L + W
    17 - W = L

    70 = L * W
    L = 17 - W

    70 = W(17 - W)
    70 = -W^2 + 17W
    W^2 - 17W + 70 = 0
    (W - 10)(W - 7) = 0

    W - 10 = 0        L = 17 - 10
    W = 10              L = 7

    W - 7 = 0          L = 17 - 7
    W = 7               L = 10

    so either the width is 10 meters and the length is 7 meters OR the width is 7 meters and the length is 10 meters

Leave a Reply

Your email address will not be published. Required fields are marked *