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# ABCD is a square and EFGH is a rectangle. The area of the shaded region is 29 cm^2. Find the area, in cm, of EFGH.?

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- King LeoLv 73 weeks agoFavorite Answer
( n + 4 )² - ( n + 1 )( n + 2 ) = 29

5n + 15 = 29

n = 3

Area of EFGH

= ( n + 1 )( n + 2 )

= ( 3 + 1 )( 3 + 2 )

= 20 cm²

- DavidLv 73 weeks ago
Shaded region: (n+4)(n+4) - (n+1)(n+2) = 29

Solution to the equation: n = 3

Shaded region: 49 - 20 = 29

Clear region rectangle EFGH = 20 square cm

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