1. Find the perimeter of the rectangles whose dimensions are given below.
(a) length = 8 cm, breadth = 5 cm (b) length = 11 cm, breadth = 7 cm
(c) length = 15 cm, breadth = 12 cm (d) length = 20 cm, breadth = 16 cm
2. Find the perimeter of the squares whose dimensions are given below.
(a) side = 8 cm
(b) side = 12 cm
(c) side = 14 cm
(d) side = 18 m
(e) side = 21 m
(f) side = 16 cm
3. Find the perimeter of the triangles whose dimensions are given below.
(a) a = 4 cm, b = 5 cm, c = 6 cm (b) a = 8 cm, b = 11 cm, c = 13 cm
(c) a = 14 cm, b = 16 cm, c = 18 cm (d) a = 21 m, b = 23 m, c = 30 m
4. Find the side of the squares whose perimeters are given below.
(a) 64 cm (b) 96 cm (c) 112 cm (d) 144 cm (e) 168 cm
Answers
Step-by-step explanation:
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Perimeter of a Rectangle
We will discuss here how to find the perimeter of a rectangle. We know perimeter of a rectangle is the total length (distance) of the boundary of a rectangle.
In a rectangle we know that two opposite sides are equal. So, PQ = SR and PS = QR
If PS = l and PQ = b
Perimeter of a Rectangle
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Perimeter of the rectangle = PQ + QR + RS + SP
= b +l + b + l
= 2b +2l
Again,
ABCD is a rectangle. We know that the opposite sides of a rectangle are equal.
Perimeter of a Rectangle
AB = CD = 5 cm and BC = AD = 3 cm
So, the perimeter of the rectangle ABCD = AB + BC + CD + AD = 5 cm + 3 cm + 5 cm + 3 cm = 16 cm
It can be written as 5 cm + 5 cm + 3 cm + 3 cm
= (2 × 5) cm + (2 × 3) cm
= 2 (5 + 3) cm
= 2 × 8 cm
= 16 cm
We add length and breadth twice to find the perimeter of a rectangle.
Perimeter of a rectangle = 2 (length + breadth)
Let us consider some of the examples on perimeter of a rectangle:
1. The length of a rectangle is 4 cm and its breadth is 2 cm. Find its perimeter.
Solution:
Length = 4 cm
Breadth = 2 cm
Examples on Perimeter of a Rectangle
Therefore, perimeter of the rectangle
= 2 (length + breadth)
= 2 (4 + 2) cm
= 2 × 6 cm
= 12 cm
2. A rectangular swimming pool is 9 m long and 4 m broad. Find the area of the swimming pool.
Solution:
Length of the rectangular swimming pool = 9 m
Breadth of the rectangular swimming pool = 4 m
Therefore, perimeter of the rectangle swimming pool
= 2 (length + breadth)
= 2 (9 + 4) m
= 2 (13) m
= 2 × 13 m
= 26 m
3. The length of a rectangle is 4.5 m and the breadth is 1.5 m. Find the perimeter.
Solution:
Length = 4.5 m
Breadth = 1.5 m
Perimeter of a Rectangle Problems
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Perimeter = 2(length + breadth)
= 2 × (4.5 m + 1.5 m)
= 2 × 6 m
= 12 m
Therefore, the perimeter is 12 m.
4. A rectangle display board is measuring 8 m by 6 m. Robert wants to add a ribbon border around the display board. What is the length of ribbon that he will need? If the cost of the ribbon is $ 15 per metre then how much money does Robert needs to buy the ribbon?
Solution:
Length of the display board = 8 m
Breadth of the display board = 6 m
Perimeter of the display board = 2(Length + Breadth)
= 2(8 + 6) m
= 2 × 14 m
= 28 m.
Cost of ribbon is $15 per metre.
Therefore, total cost for 28 m long ribbon = $15 × 28
= $420.
length of whose sides are given below: (i) 15 m (ii) 250 m (iii) 25 cm
Worksheet on Area and Perimeter of Rectangles | Word Problems |Answers
Recall the topic and practice the math worksheet on area and perimeter of rectangles. Students can practice the questions on area of rectangles and perimeter of rectangles. 1. Find the area and perimeter of the following rectangles whose dimensions are: (a) length = 17 m
Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers
Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find the perimeter of the triangles having the following sides.
Perimeter of a Square | How to Find the Perimeter of Square? |Examples
We will discuss here how to find the perimeter of a square. Perimeter of a square is the total length (distance) of the boundary of a square. We know that all the sides of a square are equal. Perimeter of a Square Perimeter of the square ABCD = AB+BC+CD+AD=2 cm+2cm+2cm+2cm
Area of a Square | Area of a Square = (Side × Side) dividing the figure into squares and rectangles. Some irregular figures are made of recta