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Given:
The area of a rectangle is 99 square yd.
Length of the rectangle = 7 yd more than twice the width.
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then, length of the rectangle is:
Area of a rectangle is:
The area of a rectangle is 99 square yd.
Splitting the middle term, we get
Using zero product property, we get
and
and
and
Width of the rectangle cannot be negative. So, yd.
Now, the length of the rectangle is:
Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.