The base of a rectangle is 4 more than the height. The area of the rectangle is 15 square inches. What are the dimensions of the rectangle?

Question

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Answer 1

The triangle base b = 4 + h, and the area is b h=15 sq in

 

substitute the first equation in second, (4+h)h=15, 4h+h² = 15

 

h²+4h = 15, complete the square h²+4h+(4/2)²= 15+(4/2)²

 

h²+4h+4=15+4, (h+2)²=19 , take square root of both sides

 

h+2=√19 , h = √19 -2 = 2.36 in, b = 4+2.36 = 6.36 in

 

Check bh=(2.36x6.36)=15.00 in², and therefore checks