The area of a playground is 80 square yards. The length of the playground is 5 times longer than its width.
Find the length and width of the playground.
The problem with that answer is that 16 is not 5 times 5. You should hav e solved
w * 5w = 80
w^2 = 16
w = 4
So the field is 4x20
Note that 20 = 5x4.
So usually to find area its Length x Width but in your case we revers it
: Area divided by length = width (:
it would look like 80 divided by 5
so what is 80 divided by 5 ? (:
SO now if we check our work it would look like 16 * 5
which is 80!! so its correct. Yourwelcome.have a bless day
the answer is w=4 I think
To find the length and width of the playground, we can set up an equation based on the given information.
Let's assume the width of the playground is represented by "w" yards. Since the length of the playground is 5 times longer than its width, we can say that the length is 5w yards.
The area of a rectangle can be calculated by multiplying its length by its width. So, we can write the equation as:
Length * Width = Area
Substituting the values we found:
(5w) * w = 80
Now, we can solve this equation to find the width (w), and then use that value to find the length (5w).
Step 1: Simplify the equation
5w^2 = 80
Step 2: Divide both sides by 5 to isolate w^2
w^2 = 16
Step 3: Take the square root of both sides to solve for w
w = √16
w = 4
So, the width of the playground is 4 yards.
Now, we can find the length by multiplying the width by 5:
Length = 5 * 4 = 20
Therefore, the length of the playground is 20 yards and the width is 4 yards.