SOLUTION: the area of a rectangle is 42 square meters.the width of the rectangle is 6 meters.what is the length? thanks

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Question 73621This question is from textbook mathematics
: the area of a rectangle is 42 square meters.the width of the rectangle is 6 meters.what is the length? thanks This question is from textbook mathematics

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
The equation for the area of a rectangle is:
.
A+=+L%2AW
.
where A = area, L = the measure of the long side, and W = the measure of the short side.
.
You are told that the Area is 42 square meters. (Now we have to have all measures in meters.)
So substitute 42 for A in the equation to get:
.
42+=+L%2AW
.
You are also told that the width (W) is 6 meters. Substitute 6 for W in the equation
to get:
.
42+=+L%2A6
.
To solve for L, just divide both sides of this equation by 6 which is the multiplier
of L. When you do you get:
.
L%2A6%2F6+=+42%2F6
.
On the left side the 6 in the denominator cancels with the 6 in the numerator to just leave L
and on the right side the 6 goes into 42 7 times. So our final equation is:
.
L+=+7
.
The answer is that the length L is 7 meters. (Don't forget the units are meters.}
.
Hope this discussion helps you to see how to work problems involving the length, width, and
area of rectangles.