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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Area of 2D-shapes

Grade: 1400-a Lesson: S3-L5

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	Find the area of parallelogram ABCD. $1$	A) 784.08 B) 748.08 C) 778.48 D) 782.8
2	A rhombus has sides of length 8 units. The shorter diagonal is 10 units long. Find the area of the rhombus.	A)\$\sqrt(39)\$ B) \$5\sqrt(39)\$ C) \$10sqrt(39)\$ D) \$\sqrt(156)\$
3	The area A of a rectangle is given by the function A(x)=x(-10+x), where x is the width of the rectangle. Find the maximum area of the rectangle.	A) 20 B) 5 C) 10 D) 25
4	The length of a rectangle is thrice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 90 sq.cm. What is the area of the rectangle?	A) 396.75 sq.cm B) 396.55 sq.cm C) 395.75 sq.cm D) 396.75 cm
5	ABDC is a trapezium with AB//CD. P and Q are the midpoints of AC and BD, respectively. If AB = 7 cm and CD = 9 cm, Find the ratio of the area of ABQP to the area of PQDC.	A) 15:17 B) 15:16 C) 18:17 D) 14:17
6	Find the area of a regular octagon if its side measures 10 units.	A) 482.8 sq.units B) 482.8 units C) 488.8 sq.units D) 488.2 sq.units
7	The area of a regular pentagon is 200 square units. Find the length of each side if the apothem is 8 units.	A)10 units B) 15 units C) 20 units D) 5 units
8	Find the area of the regular hexagon ABCDEF given that the length of one side of the regular hexagon is 14 cm. $8$	A) \$294\sqrt3 cm\$ B) \$294\sqrt3 cm^2\$ C) \$294\sqrt2 cm^2\$ D) \$294 cm^2\$
9	The ratio of the length to the width of a rectangle is 5:3. If the perimeter of the rectangle is 184 units, find the area of the rectangle.	A) 1983.75 units B) 193.75 sq.units C) 1983.75 sq.units D) 1893.75 sq.units
10	The diagonal of a square is 12 units. Find the side length and area of the square.	A) \$s= 6\sqrt2\$ A= 70 units B) \$s = 8\sqrt2\$ A = 77 sq.units C) \$s = 6\sqrt2 sq.units\$ A = 72 units D) \$s = 6\sqrt2 units\$ A = 72 sq.units

Problem Id

Problem

Options

Find the area of parallelogram ABCD.

$1$

A) 784.08

B) 748.08

C) 778.48

D) 782.8

A rhombus has sides of length 8 units. The shorter diagonal is 10 units long. Find the area of the rhombus.

A)\$\sqrt(39)\$

B) \$5\sqrt(39)\$

C) \$10sqrt(39)\$

D) \$\sqrt(156)\$

The area A of a rectangle is given by the function A(x)=x(-10+x), where x is the width of the rectangle. Find the maximum area of the rectangle.

A) 20

B) 5

C) 10

D) 25

The length of a rectangle is thrice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 90 sq.cm. What is the area of the rectangle?

A) 396.75 sq.cm

B) 396.55 sq.cm

C) 395.75 sq.cm

D) 396.75 cm

ABDC is a trapezium with AB//CD. P and Q are the midpoints of AC and BD, respectively. If AB = 7 cm and CD = 9 cm, Find the ratio of the area of ABQP to the area of PQDC.

A) 15:17

B) 15:16

C) 18:17

D) 14:17

Find the area of a regular octagon if its side measures 10 units.

A) 482.8 sq.units

B) 482.8 units

C) 488.8 sq.units

D) 488.2 sq.units

The area of a regular pentagon is 200 square units. Find the length of each side if the apothem is 8 units.

A)10 units

B) 15 units

C) 20 units

D) 5 units

Find the area of the regular hexagon ABCDEF given that the length of one side of the regular hexagon is 14 cm.

$8$

A) \$294\sqrt3 cm\$

B) \$294\sqrt3 cm^2\$

C) \$294\sqrt2 cm^2\$

D) \$294 cm^2\$

The ratio of the length to the width of a rectangle is 5:3. If the perimeter of the rectangle is 184 units, find the area of the rectangle.

A) 1983.75 units

B) 193.75 sq.units

C) 1983.75 sq.units

D) 1893.75 sq.units

The diagonal of a square is 12 units. Find the side length and area of the square.

A) \$s= 6\sqrt2\$
A= 70 units

B) \$s = 8\sqrt2\$
A = 77 sq.units

C) \$s = 6\sqrt2 sq.units\$
A = 72 units

D) \$s = 6\sqrt2 units\$
A = 72 sq.units