The area of a rectangle is 192 in squared. the ratio of the length to the width is 4 : 3. find the length and the width.

L = 16 inches , W = 12 inches

Step-by-step explanation:

Area = 192

Ratio of length to the width = 4 : 3

This means that  L = W  

Area of a rectangle = Length x width

Substituting A = 192 and L = W into the formula for calculating area of rectangle , we have

192 = W x W

192 =

192 X 3 =

576 =

Divide through by 4

144 =

Take the square root of both sides

Therefore :

W = 12 inches

Substitute W = 12 into  L = 4/3W , which means

L = 4/3 X 12

L = 16 inches

Therefore :

Length = 16 inches and Width = 12 inches

answer is c

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