Question

Rectangles T and U are similar. If the area of rectangle T is 40, what is the area of

rectangle U?
10
4.5
Rectangle
T
Rectangle
U
Area = 40

Answer 1

Area = 18

Explanation:

Since the triangles are similar, we can set up a proportion of 10/4.5 = 40/x. The sides on top, with length 10 and 4.5, are similar. This ratio can then be applied to the areas, with the area of rectangle T in the numerator and the area of rectangle U in the denominator, giving us 40/x. To solve for x, we can multiply 40 by 4.5 and then divide the product by 10. This gives us 18, the area of rectangle U.