the length of a rectangular sign is 4 times it's width. if the sign's perimeter is 30 inches, what is the area?

36

Step-by-step explanation:

Width = x

Length = 4x

Perimeter = Width + Width + Length + Length (Because there are four sides; two sides are the widgth and two sides are the length)

30 (because 30 is given as the perimeter) = x + x + 4x + 4x

30 = 10x

x = 3

Width = 3

Length = 4(3) = 12

Area = Width * Length

Area = 3 * 12 = 36

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step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value