Homework Help: math

Posted by cris on Sunday, February 26, 2012 at 7:44pm.

A homeowner wants to plant a garden in his backyard. He decides to have 375 square feet garden and wants the garden to be 10 feet longer than it is wide. Find the dimensions of the garden.

math - bobpursley, Sunday, February 26, 2012 at 7:58pm
L=W+10

area= LW=375
375=W(W+10)

w^2+10W-375=0

completing the square

W^2+10w+25=400
(w+5)=20
w=15,L=25
math - Reiny, Sunday, February 26, 2012 at 8:01pm
width --- x ft
length -- x+10 ft

solve
x(x+10) = 375
x^2 + 10x - 375 = 0
(x+25)(x-15) = 0
x = 15 or x = a negative

width: 15 ft
length : 25 ft

check: 15x25 = 375

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