Perimeter of Square and Rectangle

Q. If the length of the diagonal of a square is $12\sqrt{2}cm$, what is its perimeter?

1. 38 cm
2. 44 cm
3. 48 cm
4. 54 cm

Q.

Bills new porch is rectangular, with an area of $50\mathrm{sq}.\mathrm{ft}$.

If the length of the porch is two times the width, what is the perimeter of the porch?

Q.

The diagonal of a square is 15 m; find the length of its one side and perimeter.

Q.

Question 3

A circle of maximum possible size is cut from a square sheet of board. Subsequently, a square of maximum possible size is cut from the resultant circle. What will be the area of the final square?
(a) $\frac{3}{4}$ of original square (b) $\frac{1}{2}$ of original square
(c) $\frac{1}{4}$ of original square (d) $\frac{2}{3}$ of original square

Q. Chapter- perimeter and area of plane figures
The perimeter of a rectangle is 51.8m and its length is 16.5m. Find the breadth and the area of the rectangle.

please solve in a notebook and solve it briefly

Q.

The perimeter of a rectangle is 28 cm and its breadth is 6 cm. The length of a rectangle will be:

1. 8 cm

2. 5 cm

3. 7 cm

4. 6 cm

Q.

The length of a rectangle is four times its width. If the perimeter is 100 m .what is the length of the rectangle?

1. 30 m

2. 25 m

3. 40 m

4. 20 m

Q.

The perimeter of a rectangle is 72 cm. If the length of the rectangle is 20 cm, the breadth of the rectangle is:

1. 16 cm

2. 18 cm

3. 20 cm

4. 12 cm

Q.

Find the perimeter of a rectangle whose length is 28 cm and breadth is 21 cm.

1. 49 cm

2. 46 cm

3. 98 cm

4. 92 cm

Q.

The length of a rectangle is 15 CM greater than its breadth its perimeter is 150 centimetre find the dimensions of the rectangle

Q.

Question 112 (i)

Use the following figure, showing the layout of a farmhouse.​​​​​​​

What is the area of land used to grow hay?

Q.

The perimeters of a rectangular pool is 154 m. If the length is 2 more than twice it's breadth. What are the length and breadth of the pool

Q.

Perimeter of a regular pentagon with side length 7 cm is:

1. 35 cm

2. 21 m

3. 30 cm

4. 28 cm

Q. The area of rectangle is 27 1/5 cm². If it's breadth is 5cm find the perimeter of the rectangle

Q.

The perimeter of the rectangular swimming pool is $154m$. Its length is $2m$ more than twice its breadth. What is the length and breadth of the rectangular swimming pool?

Q.

Question 113 (ii)

Study the layout given in the figure and answer the questions.

Write an expression to calculate the perimeter of the living room.

Q.

Question 79

Ratio of the area of $\Delta WXY$ to the area of $\Delta WZY$ is 3 : 4 in the given figure. If the area of $\Delta WXZ$ is $56c{m}^2$ and WY = 8 cm, find the lengths of XY and YZ.

Q.

Question 112 (iii)

Use the following figure, showing the layout of a farmhouse.

A fence is to be enclosed around the house. The dimensions of house are $18.7m\times 12.6m$. At least how many metres of fencing are needed?

Q.

Question 114

A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides, a 50 cm wide flower bed is there is shown in the given figure. Find the area of the remaining portion.

Q. If the perimeter of a square is 48 cm, then its side is 12 cm.

1. False
2. True

Q. The value of semiperimeter 's' for a triangle having sides as 4cm, 6cm and 8cm is

1. 18 cm
2. 9 cm
3. 15 cm
4. 21 cm

Q.

Question 121

Solve the following question:

Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.

Q.

the perimeter of a rectangular swimming pool is 154 m. its length is 2m more than twice its breadth. what are the length and the breadth of the pool?

Q.

A garden is $15m\times 10m$ It has a $2.5m$ wide flower bed all round outside it$.$ There is also a $2.5m$ wide grassy path all round and outside the flower bed$.$Find the area of the flower bed and grassy path respectively$.$

Q.

The perimeter of the following figure is:

1. 36 cm

2. 26 cm

3. 18 cm

4. 32 cm

Q.

The perimeter of a pentagon with equal sides is 65 centimetres. What is the length of each side?

Q.

Sara bought 28 grass beds each measuring 10 by 15 cm. After arranging these to make a lawn, she was left with four beds. Find the area of the lawn in $c{m}^2$.

1. 36

2. 3600

3. 0.36

4. 360

Q. If the hypotenuse of a right angled triangle is 13 cm, what will be the other side lengths?

1. $11$ cm and $4\sqrt{3}$ cm
2. $9$ cm and $2\sqrt{3}$ cm
3. $11$ cm and $2\sqrt{3}$ cm
4. $9$ cm and $4\sqrt{3}$ cm

Q.

A farmer had a rectangular plot measuring 500 m by 100 m. If he fences the plot 4 times with barbed wire, what should be the length of the wire?

1. 4800 m

2. 1000 m

3. 300 m

4. 1200 m

Q.

The two adjacent sides of a rectangle are 2x² − 5xy + 3z² and 4xy − x² − z². Find its perimeter.