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 _____.
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.
To write an equation to represent the area of the playground, we need to multiply the width by the length.
The width of the playground is (x + 4) yards
The length of the playground is (x) yards
So, the equation would be:
Area = (Width) * (Length)
Area = (x + 4) * (x)
Now, we are given that the area of the playground is 140 square yards. So, we can set up the equation as follows:
140 = (x + 4) * (x)
To find the length and width of the playground, we need to solve this 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