Question

A rectangle has a perimeter of 48 cm and a width of 6 cm. Use the formula P=2ℓ+2w to find the length.

a. Write the formula in the terms of ℓ

b. Substitute the clues you are given into the rearranged formula. What is the length?

Answer 1

Answer:the length is equal to 18. 2l+2w= 12+?=48. 48-12=36, 36/2=18

Explanation:

Answer 2

a.ℓ=(P/2)-w, b.ℓ=18 cm

Explanation:

Hello

I can help you with this one

Let

perimeter=2ℓ+2w

perimeter=48 cm

width=6 cm

Step one

a. Write the formula in terms of ℓ, it means that ℓ must be isolated

P=2ℓ+2w

subtract 2w in both sides

P-2w=2ℓ+2w-2w

P-2w=2ℓ

divide both sides by 2

(P-2w)/2=2ℓ/2

(P/2)-w=ℓ

ℓ=(P/2)-w

Step two

b.Substitute the clues you are given into the rearranged formula.

replace the values

ℓ=(P/2)-w

ℓ=(48 cm /2)-6 cm

ℓ=24 cm - 6 cm

ℓ=18 cm

Have a good day