A rectangle has an area of 84cm2. Its longer side is 5cm than the shorter size. Find its perimeter.

I need this answered ASAP

38 cm

Step-by-step explanation:

the equation for a rectangle is A = LW

84 = LW

we know that one side is 5 cm longer so

L = W + 5

substitute this into the equation

84 = LW

84 = W(W+5)

84 = W^2 + 5W

move all terms to one side

W^2 + 5W - 84 = 0

factor and find two numbers whose product is -84 and sum is 5

(W + 12)(W - 7) = 0

set both terms equal to 0

W + 12 = 0, W - 7 = 0

W = -12, 7

since width cant be negative, W = 7

L = W + 5 = 7 + 5 = 12

so W = 7 and L = 12

plug these values into perimeter = 2(W + L)

perimeter = 2(12 + 7)

= 2(19)

= 38 cm

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!