Question

Jack drew a rectangle labeled X with a length of 10 centimeters (cm) and a width of 25 cm. He drew another rectangle labeled Y with a length of 15 cm and the same width as rectangle X. Which is a true statement about the rectangles?A. The area of rectangle Y will be 3/5 times greater than the area of rectangle XB. The area of rectangle Y will be 3/2 times greater than the area of rectangle X.C. The perimeter of rectangle Y will be 3/5 times greater than the perimeter of rectangle X.D. The perimeter of rectangle Y will be 3/2 times greater than the perimeter of rectangle X.thank you ! :)

Answer 1

Answer: B

First, let's get the area of each rectangle. To do this, we just need to multiply the length by the width:

$\begin{gathered} A_x=lw \\ A_x=(10)(25) \\ A_x=250\text{ cm}^2 \end{gathered}$$\begin{gathered} A_y=lw \\ A_y=(15)(25) \\ A_y=375\text{ cm}^2 \end{gathered}$

Comparing the two areas:

$\frac{A_y}{A_x}=\frac{375}{250}=\frac{3}{2}$

With this, we know that among the given statements, B is true.