Question

Rectangles W and X are similar. If the area of rectangle W is 270, what is the area ofrectangle X?187.2Rectangle WRectangle XArea = 270

Answer 1

First find the measures of the rectangle W

Area of the rectangle is

$A=l\times h$

then replace the values to find h

$\begin{gathered} 270=18\times h \\ h=\frac{270}{18}=15 \end{gathered}$

now find the factor between the rectangles dividing the length of the rectangle X and length of the W

$\frac{7.2}{18}=\frac{2}{5}$

Multiply the heigth of Rectangle W by te factor to obtain the heigth of the Rectangle X

$15\times\frac{2}{5}=6$

now find the area of the rectangle X using the formula, height and length

$\begin{gathered} A=l\times h \\ A=7.2\times6 \\ A=43.2 \end{gathered}$

Area of the Rectangle X is 43.2 square units