Sorry did not mean to do this

Please help me find the area of shaded region and step by step

Bumek [7]

Answer:

Part 1) $A=60\ ft^2$

Part 2) $A=80\ cm^2$

Part 3) $A=96\ m^2$

Part 4) $A=144\ cm^2$

Part 5) $A=9\ m^2$

Part 6) $A=(49\pi -33)\ in^2$

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

$A=bh$

where

b is the base of rectangle

h is the height of rectangle

so

$A=(12)(7)-(8)(3)$

$A=84-24$

$A=60\ ft^2$

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

$A=b^2$

where

b is the length side of the square

so

$A=(12)(8)-(4^2)$

$A=96-16$

$A=80\ cm^2$

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

so

$A=4(4)(5)+(4^2)$

$A=80+16$

$A=96\ m^2$

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

so

$A=(15^2)-(9^2)$

$A=225-81$

$A=144\ cm^2$

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

so

$A=\frac{1}{2}(6)(7)-(6)(2)$

$A=21-12$

$A=9\ m^2$

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

so

$A=\pi (7^2)-(3)(11)$

$A=(49\pi -33)\ in^2$

7 0

3 years ago

Roger has 2 1/2 cups of butter. A recipe for a loaf of bread requires 3/4 cups of butter. How many loaves can Roger bake?

lubasha [3.4K]

The number of loaves can be determined with dividing the butter by the number of cups needed for a loaf.
loaves = 2 1/2 ÷ 3/4

Change into improper fraction
loaves = 2 1/2 ÷ 3/4
loaves = 5/2 ÷ 3/4

Change into multiplication
loaves = 5/2 ÷ 3/4
loaves = 5/2 × 4/3
loaves = 20/6
loaves = 10/3
loaves = 3.3
Because the number of loaves can't be a fraction, round it to the smaller whole number

Roger can make 3 loaves of bread

7 0

3 years ago

Read 2 more answers

Twenty-eight people in student council are running for the offices of president and vice-president. In how many different ways c

gulaghasi [49]

Answer: 756

Step-by-step explanation:

The president can be elected in 28 different ways. After a student is elected president, there are 27 students left to elect a vice president from. So there are 28 x 27 = 756 different arrangements.

8 0

3 years ago

Is 398,468 divisible by 4? YES or NO HELP ME PLZ!!

weeeeeb [17]

Answer:

yes it is

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A gift box is in the shape of a trapezoidal prism with base lengths of 7 inches and 5 inches and a height of 4 inches. The heigh

jek_recluse [69]

First of all there are multiple formula's to get the volume of a trapezoidal prism:

V=(1/2 * (base1 + base2) * h) * height prism

Using the numbers you gave:
base1 = 7 base2 = 5 h = 4 height prism = 8

Putting this into the equation: V=(1/2 * (7 + 5) * 4) * 8
V= (1/2 * 12 * 4) * 8
V = 24 * 8
V = 192

The volume of the gift box is 191 inches squared.

6 0

3 years ago