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A Rectangle has an area of 42 square feet If its length is 5 feet more than twice its width what are the dimensions of the rectangle?
Name the length x & the width y
then, x = 5 + 2y
knowing that the area of the rectangle is obtained from the multiplication of its length times its width ,then:
x * y = 42
(5 + 2y)*y = 42
5y + 2y^2 = 42
2y^2 + 5y - 42 = 0
solving the above equation you'll obtain these two values for x :
y = 3.5 which is adopted (as it's a positive value)
y = -6 which is rejected as a length due to its minus sign.
Now,solve for x:
x = 5 + 2y
x = 5 + 2(3.5)
x = 12
Conclusion:
The length of the rectangle is equal to 12 feet &
its width is equal to 3.5 feet.
What else can I help you with?
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What does area of a rectangle mean?
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Without the dimensions, we won't be able to tell. The area of a rectangle is the length times the width. If those dimensions are in inches, the area will be in square inches.
Can a square also be a rectangle?
A square is a special case of a rectangle. Every square is a rectangle, but not every rectangle is a square. A square is a rectangle with four sides that are all equal in length.
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It depends on the dimensions of the rectangle.
Does a square and a rectangle has equal length?
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What are the dimensions of a rectangle with an area of 196 square units?
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