the área of a playground is 140 square yards. the width of the playground is (x+4) yards and the length is (x) yards. write an equation to represent the area of the playground. The length of the playground is _____ and the width is _____.

3 answers

Area = length x width
you are given the area, the width and the length, so just fill in the given data to form the equation.
140²yd = x+x+4
140-4= 136
136÷2= 68
∵ x = 68
length = 68
width = 72
noooo
To get the area, you multiply length times width.
You added them , 68*72 ≠ 140

x(x+4) = 140
x^2 + 4x - 140 = 0

which factors nicely to
(x-10)(x+14)=0
so x = 10, since we have to reject x = -14