Question

Find the longer side of the rectangle shown, which has a perimeter of 64 cm.

A 5x D
3x
B C

Answer 1

To find the longer side of the rectangle, we will first calculate the perimeter using the formula:

Perimeter = 2(length) + 2(width)

Given that the perimeter is 64 cm, we can substitute that value into the formula:

64 = 2(5x) + 2(3x)

Now, we will simplify the equation by multiplying the coefficients:

64 = 10x + 6x
64 = 16x

To isolate x, we will divide both sides by 16:

x = 64 / 16
x = 4

Now that we have found the value of x, we can substitute it back into the expressions for the length and width:

Length = 5x = 5(4) = 20 cm
Width = 3x = 3(4) = 12 cm

Therefore, the longer side of the rectangle is 20 cm.