<PRE><B>Question 174953</B>
Write an equation for each statement
:
The area of a rectangle is the product of its length and width, and equals 1062.
L * W = 1062
:
the length is 5 more than three times the width,
L = 3W + 5
:
find the width of the rectangle.
:
Replace L with (3W+5) in the 1st equation:
(3W+5) * W = 1062
:
3W^2 + 5W = 1062
:
3W^2 + 5W - 1062 = 0; our old friend the quadratic equation!
:
You can use the quadratic formula, however, this will factors to:
(3W-54)(W+59) = 0
:
The positive solution:
3W = +54
W = 54/3
W = 18 is the width
Find the length
3(18) + 5 = 59 is the length
:
:
Check solutions:
59 * 18 = 1062
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