Question

7. A rectangular area is 5 yards longer

than it is wide, and it covers 126 square
yards. Find its dimensions.

Answer 1

Explanation:

1. x is the width and length is x+5.

2. x(x+5) = 126

3. x^2 + 5x = 126

4. subtract 126 from each side to set to zero

5. x^2 + 5x - 126 = 0

6. factor

7. (x+14)(x-9)=0

8. x can equal -14 or 9 but -14 doesn't make sense in this problem because a length can't be negative

9. so width is 9 and length is 14