A rectangle has a perimeter of 48 cm and a width of 6 cm. Use the formula P=2ℓ+2w to find the length.
2 answers:
Answer:
a.ℓ=(P/2)-w, b.ℓ=18 cm
Step-by-step 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
Answer:the length is equal to 18. 2l+2w= 12+?=48. 48-12=36, 36/2=18
Step-by-step explanation:
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