The length of a rectangle is four times its width. If the area of the rectangle is 100 yd”, find its perimeter.

50yd

Step-by-step explanation:

We know that the area of any rectangle is length times width.  The perimeter is the sum of twice the length and twice the width.

Let width = x

Let length = 4x

Area = 100m2

Next, we can write an equation using these variables and formula for area.

4x2 = 100

x2 = 25

x = -5      and        x = 5

Since the dimensions cannot be negative, we accept the positive value:

x = 5

Next, we can substitute this value of x into the variables.

width = 5 m

length = 20 m

Finally, we can find the perimeter by plugging in these dimensions into the perimeter formula,

Perimeter = 2(5 m) + 2(20 m)

              = 10 m + 40 m

              = 50 m  

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step-by-step explanation:

sorry no step by step

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17