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* h`

then replace the values to find h

`\begin{gathered} 270=18* h \\ h=(270)/(18)=15 \end{gathered}`

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

`(7.2)/(18)=(2)/(5)`

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

`15*(2)/(5)=6`

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

`\begin{gathered} A=l* h \\ A=7.2*6 \\ A=43.2 \end{gathered}`

Area of the Rectangle X is 43.2 square units