Rectangles - sides

One side of the rectangle is 10 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 14 cm increases the rectangle area by 130 cm2.

What are the dimensions of the original rectangle?

Correct answer:

a =  19.25 cm
b =  9.25 cm

Step-by-step explanation:

a=10+b (a6)(b+14)=ab+130 ab6b+14a614=ab+130 14a6b=214 14a6(a10)=214 8a=154 a=19.25 cm
b=a10=9.25 cm

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