Question

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?

Which equation will help Susan solve her problem?
Let x= the length of one side of the flag.

A.) 3x^2-2x=0
B.) 2x^2=3x
C.) 2*2=3*2
D.) 6+2x=2(4x)

Answer 1

B the smallest piece of cloth that she can make two squares from is one that is two squares wide. So if twice the width of the square is the width of the cloth.The right side of the equation could be clearly written as 2(x^2) to keep it from being confused with (2x)^2.

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Answer 2

Option. B) 2x² = 3x

Explanation:

Susan wants to make 2 square flags to sell at a craft fair.

She wants to buy a fabric of 3 meters wide. She doesn't want any fabric left over.

It means area of fabric purchased should be same as area of the flags.

Since x = length of one side of the flag

So area of one flag = x² meter²

Area of 2 flags = 2x² meter²

Area of the fabric = length × width

Area of fabric = x.3 = 3x

Now as per question both the areas should be same

2x² = 3x

Option B. is the correct option.