Find the dimensions of a rectangle whose area is 221 cm2 and whose perimeter is 60 cm. (enter your answers as a comma-separated list.)

Question

Find the dimensions of a rectangle whose area is 221 cm2 and whose perimeter is 60 cm. (enter your answers as a comma-separated list.)

0

Answers ( No )

    0
    2021-09-14T22:46:35+00:00

    60 = 2 ( length + width ) 

    30 = length + width 

    Let length be = x and width = y 

    x+y = 30 

    xy = 209 

    4xy = 836 

    ( x+ y)^2 = 900 

    ( x+y)^2 – 4xy = 900-836 = 64 

    ( x-y)^2 = 64 

    x- y = 8 

    x+y = 30 

    ADD 2x =38 

    x = 19 

    y = 11 

    ANSWER 19cm X 11cm

Leave an answer

Browse
Browse