Question

The width of a rectangle is 3 1/2 inches,and the length is 4 3/4 inches. What is the area of the rectangle?

Answer 1

Answer: 16.625 in²

Step-by-step explanation: We can find the area of a rectangle using the formula that is shown below.

Area = length · width

Since the length is 4 and 3/4 inches and the width is 3 and 1/2 inches, we can plug this information into the formula to get
`(4 (3)/(4) in.)(3\frac{1}2} in.)`.

From here, we need to rewrite 4 and 3/4 and 3 and 1/2 as either improper fractions or decimals in order to multiply.

I would suggest rewriting 4 and 3/4 as the decimal 4.75

and 3 and 1/2 as the decimal 3.5.

So we have (4.75 in.)(3.5 in.) which simplifies to 16.625 in².

So the area of the rectangle is 16.625 in².

Answer 2

16 5/8 in^2

Explanation:

The area of a rectangle is found by

A = l*w

= 3 1/2 * 4 3/4

Changing to improper fractions

= (2*3+1)/2 * (4*4+3)/4

= 7/2 * 19/4

133/8

Changing back to a mixed number

8 goes into 133 16 times with 5 left over

16 5/8