Question

Question 1 of

Select the correct answer.
A rectangular sheet of steel is being cut so that the length is four times the width. The perimeter of the sheet must be less than
100 inches.
length (/)
width (w)
Which inequality can be used to find all possible lengths, I, of the steel sheet?
5/2L > 100
10L < 100
5/2L< 100
10L > 100

Answer 1

Length be L

width be L/4

Now

Perimeter=2(Length+Breadth)

• 2(L+L/4)<100
• 2(5L/4)<100
• 5L/2<100

Answer 2

5L/2 < 100

Explanation:

Let's get started!

Let :

⇒ Length = L

⇒ Width = L/4

It mentions the perimeter must be less than 100 inches.

Perimeter Formula :

Perimeter (Rectangle) = 2(Length + Width)

Then, the inequality formed will be :

⇒ 2 (L + L/4) < 100

⇒ 2 (5L/4) < 100

⇒ 10L/4 < 100

⇒ 5L/2 < 100