Question

Scenario:

Susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. What's the least amount of fabric she should buy?

Question:

Which equation will help Susan solve her problem?

Note: Let X represent the length of 1 side of the flag.

Options:

1) 3x^2 -2x =0

2) 2x^2 =3x

3) 2 * 2 = 2 * 2

4) 6 +2x = 2(4x)

Answer 1

B) 2x² = 3x

Explanation:

Answer 2

Option 2 -
`x^2=3x`

Explanation:

Given : Susan wants to make 2 square flags to sell at a crafts fair. The fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over.

To find : What's the least amount of fabric she should buy?

Solution :

If she doesn't want any fabric left over.

The fabric purchased should have same area of the flags.

So, let x be the length of 1 side of the flag.

Area of the flag is

`A=s^2`

`A=x^2`

Area of 2 square flags is
`A=2x^2`

Now, Area of fabric is

`A=l* b`

`A=x* 3`

`A=3x`

According to question,

Area is same so,

`x^2=3x`

Therefore, Option 2 is correct.