The length l, of a rectangle is 7 ft less than three times the width w, of the r

Question

The length l, of a rectangle is 7 ft less than three times the width w, of the rectangle. The area of the rectangle is 98 ft2. Find the length and width of the rectangle.
STEP 1: Write an equation for length in terms of width..
l =


STEP 2: Substitute your expression for l into the equation for area.
A = w · l
A =


STEP 3: Substitute the value 98 for A and solve for w. (Enter your answers from smallest to largest.)
w =
w =


STEP 4: Only one of these answers makes sense for width.
w = ft


STEP 5: Use your answer from Step 4 and your equation from Step 1 to solve for length.
l = ft

Explanation / Answer

Step 1: We can find the length L from the statement 7ft less than three times the width W. From this statement, L=3W-7 Step 2: The Area of a rectangle is A=LW. We can plug our formula for the length in to get a new eqaution. A=(3W-7)W Now you set the Area= to 98ft2 solve for W. Then you plug the value for W into the equation L=3W-7 to get the value for L.

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