Answer: The answer is option C: 23 square inches
Step-by-step explanation: The two rectangles are given as
ABCD with area of 90 and one side equals 10. That means the other side measures
Area = L x W
90 = 10 x W
90/10 = W
W = 9.
The second rectangle has a side measuring 5 inches and both rectangles have been described as similar. This means there is a common ratio between all sides of both figures.
If AB in rectangle 1 equals 10 inches, and XY in rectangle 2 equals 5 inches, the ratio of both rectangles is given as
Ratio = 10:5
Ratio = 2:1
Hence for rectangle 2, if line AB equals 9, then line WX equals
2/1 = 9/WX
By cross multiplication we now have
WX = 9/2
WX = 4.5
Therefore, the area of rectangle WXYZ is computed as
Area = L x W
Area = 5 x 4.5
Area = 22.5
Approximately to the nearest integer,
Area ≈ 23 square inches
