the length of a rectangle is 6 meters more than its width. if the area of the rectangle is 135 square meters, find its dimension
s, PLEASE explain and show steps
1 answer:
Answer:
length 15 width 9
Step-by-step explanation:
Then the length can be represented by the following expression: (x + 6)
Since area is equal to length times width, we can write the following equation for the area:
A = length * width
135 = (w + 6) * w
Now we can solve for w after using the distributive property and factoring:
135 = (w + 6) * w
135 = w^2 + 6w
0 = w^2 + 6w - 135
This factors to:
0 = (w + 15) (w -9)
w = -15 OR w = 9
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