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Answer :
Answer: The area of rectangle WXYZ is 18 square inches
Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as
Ratio = 10/5
Ratio = 2/1 (or 2:1)
However rectangle ABCD has its area as 70 square inches, which means the other side is given as
Area = L x W
70 = 10 x W
70/10 = W
7 = W
Therefore the width of the other rectangle is determined as,
10/5 = 7/W
10W = 5 x 7
10W = 35
Divide both sides of the equation by 10
W = 3.5
Having calculated the width of the other rectangle as 3.5, the area is now determined as
Area = L x W
Area = 5 x 3
Area = 17.5
Rounded off to the nearest integer, the area equals 18 square inches
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