#### Description

These are different questions to calculate perimeter for 2D shapes.

##### Study Set Content:
1- Flashcard

Calculate the perimeter of the rectangle.

The perimeter is found by adding the length of all sides.

12+12+5+5=34 cm

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2- Flashcard

Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange) seven feet wide throughout. What is the perimeter of the garden?

The inner rectangle, which represents the garden, has length and width (100−2×7)=86 feet and (60−2×7)=46 feet, respectively, so its perimeter is

P=86+86+46+46=264 feet.

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3- Flashcard

Refer to the above figure, which shows a square garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?

The sidelength of the garden, in feet, is 2×7=14 feet less than that of the entire lot, or

S=x−14;

The perimeter, in feet, of the garden is four times this:

P=4S=4(x−14)=4x−56

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4- Flashcard

You have a pentagonal-shaped lot with side lengths of 120ft,30ft, 55ft, 60ft, and the longest side which is triple the length of the third-longest side. What is the perimeter around the lot?

You have a pentagonal-shaped lot with side lengths of 120ft,30ft, 55ft, 60 ft, and the longest side which is triple the length of the third-longest side.

The longest side is triple the length of the third-longest side:

The third longest side is 60 feet, therefore, the longest side is 180 ft

perimeter =120ft+30ft+55ft+60ft+180ft=445ft

So our answer is 445 feet

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5- Flashcard

Find the circumference of a circle with a diameter of 15.

The circumference of a circle is denoted by the formula C=2∗π∗r where r is the radius of the circle. The problem gives us the diameter of the circle which must be used to find the radius.

r=15/2=7.5

Plug the radius into the formula for the area of a circle

C=2∗π∗7.5=15π

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6- Flashcard

If the sides of a triangle are −2x+3, 9x, and −2(3x−2), what is the perimeter?

The perimeter of a triangle is the sum of all three sides of the triangle.

Add all the side lengths.

(−2x+3)+(9x)+[−2(3x−2)]

−2x+3+9x−6x+4

Combine like-terms.

The answer is: x+7

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7- Flashcard

What is the perimeter of a square if the area is 10

units squared?

Determine the length of the square by using the given area.

A=s²

Substitute the area.

10=s²

s=(10)^(0.5)

There are four congruent sides in a square, which means the perimeter is four times the side.

The answer is: 4 x (10^(0.5))

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8- Flashcard

What is the perimeter of a right triangle with a base of 6, and a height of 8?

Explanation:

Use the Pythagorean Theorem to determine the hypotenuse.

a²+b²\=c²

Substitute the base and height.

6²+8²\=c²

36+64=c²

100=c²

Square root both sides

c=10

Add the sides to determine the perimeter.

6+8+10=24

The answer is: 24

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9- Question

What is the perimeter of the following rectangle (each square has a side length of 1 cm )?

10- Flashcard

What is the perimeter of the following shape (each square has a side length of 1 cm )?

Add the lengths of each side together.

2 +1 +1 +1 +1 +3 +2 +3+1+1+1+1=18 cm.

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11- Question

What is the perimeter of a square whose sides are 6 cm?

###### Select the Correct Answer:
24 cm
20 cm
10 cm
42 cm
12- Question

What is the perimeter of a rectangle whose sides are 10 cm

and 2 cm?

###### Select the Correct Answer:
22 cm
18 cm
26 cm
24 cm
13- Question

What is the perimeter of a regular hexagon whose sides are 5 cm

?

###### Select the Correct Answer:
20 cm
25 cm
30 cm
35 cm
14- Question

What is the perimeter of the following shape?

###### Select the Correct Answer:
24 cm
22 cm
18 cm
20 cm
15- Question

What is the length of x?

###### Select the Correct Answer:
11 m
13 m
15 m
18 m
16- Question

What is the length of y?

###### Select the Correct Answer:
14 m
12 m
10 m
8 m
17- Question

What is the perimeter of a right-angled triangle whose short sides are 3 cm and 4 cm, and hypotenuse (longest side) is 5 cm?

###### Select the Correct Answer:
14 cm
12 cm
10 cm
8 cm
18- Question

What is the perimeter of the following shape?

19- Question

What is the perimeter of a rectangle 200 m by 50 m?

###### Select the Correct Answer:
500 m
250 m
10,000 m
1,000 m
20- Question

What is the perimeter of this rhombus?

###### Select the Correct Answer:
26 cm
25 m
20 m
30 m
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