To use the concept of proportion to make the given conversion. Given information: To convert 21.6 square feet to square yards. 9 square feet =1 square yard.

Question

To use the concept of proportion to make the given conversion.  Given information: To convert 21.6 square feet to square yards. 9 square feet =1 square yard.

falhiblesw · Accepted Answer

Calculation: As we know that from the definition, a mathematical equation signifying equality of two ratios is called a proportion. Proportion is used when three quantities are known and fourth quantity is unknown. We can use equality of two ratios for finding the fourth unknown quantity. For example: ab=cd is a proportion. It is given that 9 square feet =1 square yard. So, we can write in the form of ratio as 9 square feet1 square yard Let us suppose 21.6 square feet =x square yard. So, we can write in the form of ratio as 21.6 square feetx square yard. As per the definition of proportion both ratio should be equal. i.e. 9 square feet1 square yard=21.6 square feetx square yard Applying cross multiplication, 9×x=21.6×1 ⇒9x=21.6 ⇒9x9=21.69 [Divide both sides by 9] ⇒x=2.4 square yard Hence, we can say that 21.6 square feet =2.4 square yard.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

To use the concept of proportion to make the given

Answered question

Answer & Explanation

New Questions in Pre-Algebra