the Width of a rectangle is 5 inches greater that 3 times its length. If the area of the rectangle is 22 square inches, what is the width of the rectangle in inches?

Question

anonymous · Answer

3L+5+3L+5+L+L=22
8L+10=22
8L=12
L=12/8
L=1.5 square inches

w=3L+5
w=3(1.5)+5
w=9.5 square inches

w=width
l=length

anonymous · Answer

okay??

campbell_st · Answer

length = l

width = 3l+5

area of the rectangle 

A =l(3l+5)

or $$22= 3l^2 + 5l$$

the quadratic is 

$$3l^2 + 5l - 22 = 0$$'

solve the quadratic( it can be factroised)

(l -2)(3l + 11)

l = 2, -11

only consider the positive as you are finding a measurement.

the length of the rectangle is 2inches

the width is 11 inches

precal · Answer

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