Answers

  • Brainly User
2016-03-14T01:50:41+08:00

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Width: x
Length: x + 8
Area: 105 m²

Find the dimension:
Area = Length × Width
Equation:
105 = (x + 8) (x)
105 = x² + 8x

Rewrite as quadratic equation, ax² + bx + c = 0
x² + 8x - 105 = 0

Solve by factoring:
(x - 7) (x + 15) = 0
x₁ - 7 = 0                   x₂ + 15 = 0
x₁ = 7                        x₂ = -15

Choose the positive root x = 7

Substitute 7 for x in dimensions:
Width: x = 7 m
Length: x + 8  ⇒   7 + 8 = 15 m

ANSWER: The dimensions are 15 m long and 7 m wide.

Check:
105 m² = 15 m × 7 m
105 m² = 105 m²   (true)
0