Question

The length of a rectangle is 5 cm longer than its width. If the perimeter of a rectangle is 62 cm, find its length and width.

Answer 1

L = 18cm, W = 13cm

Explanation:

We can write an equation for the length of the rectangle:

Equation 1: L = W + 5cm

We also know the equation for perimeter of a rectangle: P = 2l + 2w

We can plug in our knowns to create another equation in terms of l and w:

2L + 2W = 62cm which simplifies to Equation 2: L + W = 31cm

Now we can solve for W by plugging in L from Equation 1 into Equation 2.

(W + 5cm) + W = 31cm

2W + 5cm = 31cm

2W = 26cm so W = 13cm

Now that we know the width, we can plug that into Equation 1 and solve for L.

L = 13cm + 5cm so L = 18cm