A farmer wants to plant three rectangular fields so that the widths are the same. The areas of the fields, in square yards, are given by the expressions  and . What is the width of the fields if x =3  and y = 4.

The correct answer is: Width will be 36

• We have been given in the question that a farmer wants to plant three rectangular fields so that the widths are the same.
• We have also been given the areas of the field in square yards are given by the expressions 12𝑥 2𝑦, 9𝑥𝑦 2, 𝑎𝑛𝑑 21𝑥y.
• We have to find the width of the fields if 𝑥 = 3 𝑎𝑛𝑑 𝑦 = 4.

Step 1 of 1:
Since, the width is common we have to find the GCD of the three areas

 
So,

 

  

Hence, The GCD will be 3 × x × y
Now it is given that x = 3 ,y = 4
Width will be

 = 3 × x × y

 = 3 × 3 × 4

 = 36