Question

The area of a rectangular patio is square yards, and its length is yards. What is the patios width in yards?

Answer 1

Complete Question:

As you missed to add the area and length value. So, after a little research I was able to find the complete question. I will answer the question based on this complete question I am mentioning, but hopefully it would clear your concept anyways. So, here is the complete question.

The Area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards.What is the patio's width,in yards?

Answer:

The width of patios is $w = \frac{15}{4} yards$.

Step-by-step explanation:

As the area of a rectangular patio is $A = 5\frac{5}{8}$ square yards.

⇒ $A = 5\frac{5}{8}$

⇒ $A = 5\frac{5}{8}$ can be written as : $A = \frac{45}{8}$

The length of a rectangular patio is $l = 1\frac{1}{2}$ square yards.

⇒$l = 1\frac{1}{2}$

⇒$l = 1\frac{1}{2}$  can be written as : $l = \frac{3}{2}$

As the area of rectangular patio can be computed by multiplying the length and width. So, width $(w)$ can be computed by dividing the Area by length.

$A = lw$

$w = \frac{A}{l}$

So, $w = \frac{\frac{45}{8}}{\frac{3}{2} }$

$w = (\frac{45}{8}) (\frac{2}{3} )$

$w = \frac{90}{24}$

$w = \frac{15}{4}$ or $w = 3\frac{3}{4}$

Hence, the width of patios is $w = \frac{15}{4} yards$.

Keywords: area of rectangle, width, length

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