## 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?

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?

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4 months 2022-01-02T22:23:37+00:00 2 Answers 0 views 0

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 $$(4 \frac{3}{4} in.)(3\frac{1}2} in.)$$.

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.

16  5/8  in^2

Step-by-step 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