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?

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

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 .

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.

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.