the Gilberts are designing a rectangular patio for their backyard the patio has an area of 432 square feet the width of the patio 3/4 its length what is the length of the patio. please help
Accepted Solution
A:
------------------------------------------------------------------ Given information ------------------------------------------------------------------ Area = 432 ft² Width = 3/4 of its length
------------------------------------------------------------------ Form equation and solve for x ------------------------------------------------------------------ Let the length be [tex]x[/tex] Therefore the width is [tex] \frac{3}{4} x[/tex]
Area = Length x Widith [tex]432 = x \times \frac{3}{4} x[/tex] [tex]432 =\frac{3}{4} x^2[/tex] [divide by 3/4 on both sides] [tex]432 \div \frac{3}{4} =\frac{3}{4} x^2 \div \frac{3}{4} [/tex] [tex]576 = x^2[/tex] [tex]x^2 = 576[/tex] [tex]x = \sqrt{576} [/tex] [tex]x = 24[/tex]
------------------------------------------------------------------ Find Length ------------------------------------------------------------------ Length = x = 24
------------------------------------------------------------------ Answer : Length = 24 ft ------------------------------------------------------------------