9.8k views
1 vote
Originally a rectangle was twice as long as it was wide. When 4 m were added to its length and and 3 m subtracted

from its width, the resulting rectangle has an area of 600 m². Find the dimensions of the new rectangle.

1 Answer

4 votes

Answer:

Explanation:

Original rectangle

L = 2*w

w = w

New rectangle

2w + 4

w - 3

Area New rectangle

(2w + 4)(w - 3) = 600 Remove the brackets

2w^2 - 6w + 4w - 12 = 600 Combine the left

2w^2 - 2w - 12 = 600 Subtract 600 from both sides

2w^2 - 2w - 600 - 12 = 0 Combine

2w^2 - 2w - 612 = 0 This factors.

(w- 18)(w + 17) = 0

w + 17 will produce nothing useful. What is - 17 m ? Can you measure it?

w = 18

check

Original Triangle

w = 18

L = 36

Derived Triangle

L = 36 + 4 = 40

w = 18 - 3 = 15

LW = 600

Answer

  • L = 40
  • W = 15
User Lakshitha Kanchana
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories