Answer:
75
Step by step explanation:
Let x be the value of the width, if the length is 3 times as big as the width, we can show this as 3x.
To find the perimiter and the value of x:
As it is a rectangle, two lines are parallel, so we need to multiply the length and width size to accomodate this:
2 * x = 2x
2 * 3= 6x
Add these two values together:
2x + 6x = 8x
8x is perimeter, so if 40 is the perimeter then:
8x = 40
Divide both sides by 8 to find 1x:
[tex]\frac{8x}{8} = \frac{40}{8}[/tex]
x = 5
Area:
Now we have the value of x, we need to find the area. The area formula is as follows:
Length * Width = Area
So if the length = 3x = 3 * 5 = 15
And the width = x = 5
We can find the area as we have both values:
5 * 15 = 75
So the area is 75!
