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Black_prince [1.1K]
3 years ago
7

The base of a rectangle is two thirds the length of its height. If the perimeter of the rectangle is 20 cm. What is the area?

Mathematics
1 answer:
algol [13]3 years ago
6 0

For this case we have that by definition, the perimeter of a recatangle is given by:

P = 2b + 2h

Where:

b: It is the base of the rectangle

h: Is the height of the rectangle

According to the data of the statement we have:

P = 20 \ cm\\b = \frac {2} {3} h

Substituting we have:

20 = 2 \frac {2} {3} h + 2h\\20 = \frac {4} {3} h + 2h\\20 = \frac {10} {3} h\\60 = 10h\\h = \frac {60} {10}\\h = 6

Thus, the height of the rectangle is6 \ cm

b = \frac {2} {3} (6) = 4 \ cm

So the area is:

A = b * h\\A = 4 * 6\\A = 24 \ cm ^ 2

Answer:

24 \ cm ^ 2

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3 years ago
PLEASE HELP! 40 POINTS
Vedmedyk [2.9K]

I'd start with setting up the equations. Calling x the number of students in most popular country 1, and y in country 2.

x + y = 44740

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now solve for x1 and x2. You can subtract second from first:

0 + 2y = 39068

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7 0
2 years ago
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A rectangle has a height of a² + 3 and a width of a² + 2a + 5.
valentina_108 [34]

Answer:

Area =  a^4+2a^3+8a^2+6a+15

Step-by-step explanation:

The area of a rectangle is given by:

Area = Height * Width

The expressions for height and width are given. We just need to multiply and add like terms (if applicable) to find the expression for the area of the rectangle.

Remember to use distributive property:

(a+b)(x+y) = ax + ay + bx + by

Thus, we have:

(a^2+3)(a^2+2a+5)\\=(a^2)(a^2)+(a^2)(2a)+(a^2)(5)+3a^2+6a+15\\=a^4+2a^3+5a^2+3a^2+6a+15\\=a^4+2a^3+8a^2+6a+15

THis is the expression for area.

5 0
3 years ago
Select the correct answer. What is the surface area of the victory podium shown here? Include all surfaces of the podium, includ
Leya [2.2K]

Answer:

Option C is correct.

Step-by-step explanation:

Given the dimension of the surfaces i.e length, width and height of podium. we have to calculate the surface area of the victory podium.

As Surface area of cuboid is 2(LW+WH+HL)

In the given figure, the upper cuboid has dimension

L=2.5 ft. , W=1.5 ft, H=1.5 ft

\text{Surface area=}2(2.5(1.5)+1.5(1.5)+1.5(2.5))=19.5ft^2

\text{Area of bottom face of upper cuboid=}L\timesW=2.5\times1.5=3.75ft^2

The upper face is occuring twice therefore it must be subtracted to find the area

Dimensions of lower podium are

L=7.5 ft. , W=1.5 ft, H=1.5 ft

\text{Surface area=}2(7.5(1.5)+1.5(1.5)+1.5(7.5))=49.5ft^2

Now, Surface area of podium included bottom is

19.5+49.5-3.75=65.25 square feet.

Hence, option C is correct.

4 0
2 years ago
Find the slope intercept form of an equation given its slope is 1/4 and y intercept is - 3/4
MA_775_DIABLO [31]

Answer:

y=1/4x-3/4

Step-by-step explanation:

y=mx+b

m=1/4

b=-3/4

7 0
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