SOLUTION: Please help me solve this problem: The length of a rectangle is 7 cm more than its width. If the length is increased by 2 cm and the width increased by 4 cm, the area will be in

Question 631734: Please help me solve this problem:
The length of a rectangle is 7 cm more than its width. If the length is increased by 2 cm and the width increased by 4 cm, the area will be increased by 54 cm^2. Find the original length and width of the rectangle.
Thank you so much!
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Please help me solve this problem:
The length of a rectangle is 7 cm more than its width. If the length is increased by 2 cm and the width increased by 4 cm, the area will be increased by 54 cm^2. Find the original length and width of the rectangle.
Thank you so much!

Let original width of rectangle be W
Then original length = W + 7
Increasing length by 2 makes it W + 7 + 2, or (W + 9) cm
Increasing width by 4 makes it (W + 4) cm

Original area = LW, or W(W + 7), or
Adjusted area = LW, or (W + 9)(W + 4), or

Since adjusted area is increased by , then:

13W - 7W = 20
6W = 20

W, or original width = , or , or cm

Original length = W + 7, or , or , or cm

You should be able to do the check!!

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