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The area and the ratio of the length to the width of a rectangle are given. Find the length and width of the rectangle. Area: 294 yd^2 l:w=3:2

Respuesta :

jcherry99

Answer:

Step-by-step explanation:

L = 3x

w = 2x

Area = 294 ft^2

Formula

Area = L * w

Solution

Area = L * w                   Substitute into formula

294 - 3x  *   2x              Combine the right and switch

6x^2 = 294                    Divide by 6

x^2 = 294/6

x^2 = 49                         Take the square root of both sides

√x^2 = √49

x = 7

w = 2*7 = 2x = 14

L  = 3*7 = 3x  =21