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QRST  WXYZ. The area of QRST is given. Find the area of WXYZ.

QRST  WXYZ. The area of QRST is given. Find the area of WXYZ.-example-1
User AgRizzo
by
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1 Answer

9 votes

Answer:

b. 1296 in^2

Explanation:

The area of a rectangle is calculated by multiplying width and length:

The length of the QRST is 144 since its width is given as 8 to find the length:

144/8 = 18 is the length of the QRST

it is stated that the two rectangles are similar so their widths and lengths are proportional.

Let x represent the width of WXYZ:

8/24 = 18/x cross multiply expressions

8x = 432 divide both sides by 8

x = 54 now we can calculate area of WXYZ

24*54 = 1296

User Smnbss
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