Maths-

General

Easy

Question

# In the figure, ABCD is a rectangle and PQRS is a square. Find the area of the shaded portion.

## The correct answer is: Area of the shaded portion is 275 cm2

### Hint:-

Area of shaded portion = Area of rectangle ABCD - Area of rectangle PQRS

Step-by-step solution:-

we can see from the diagram that the Area of shaded portion can be calculated by-

Step- 1: Finding the area of rectangle ABCD (with length = 20 cm & breadth = 15 cm) and

Step- 2: Subtracting the area of square PQRS (with side = 5 cm) from it.

∴ Area of shaded portion = Area of rectangle ABCD - Area of rectangle PQRS

∴ Area of shaded portion = length × breadth - (side)^{2}

∴ Area of shaded portion = (20 × 15) - 5^{2}

∴ Area of shaded portion = 300 - 25

∴ Area of shaded portion = 275 cm^{2}

Final Answer:-

∴ Area of the shaded portion is 275 cm^{2}

### Related Questions to study

Maths-

### A cylinder is surmounted by cone at one end, a hemisphere at the other end. The common radius is 3.5 cm, the height of cylinder is 6.5 cm, and the total height of structure is 12.8 cm. Find the volume of the structure.

### A cylinder is surmounted by cone at one end, a hemisphere at the other end. The common radius is 3.5 cm, the height of cylinder is 6.5 cm, and the total height of structure is 12.8 cm. Find the volume of the structure.

Maths-General

Maths-

The scatterplot above shows the revenue, in millions of dollars, that a company carned over several years and a line of best fit for the data. In Year 4 , the difference between the actual revenue and the predicted revenue is n million dollars, where is a posative integer. What is the value of n ? Round your answer to the nearest whole number. (Disregard the 5 sign when gridding your answer.)

**Note:**

As we are not certain if the point of the actual revenue is exactly at the midpoint of 50 and 60, so instead of taking the midpoint 55, we can also take it to be 54 or 56.

Then the value of *n* can be 4 or 6 too.

The scatterplot above shows the revenue, in millions of dollars, that a company carned over several years and a line of best fit for the data. In Year 4 , the difference between the actual revenue and the predicted revenue is n million dollars, where is a posative integer. What is the value of n ? Round your answer to the nearest whole number. (Disregard the 5 sign when gridding your answer.)

Maths-General

**Note:**

As we are not certain if the point of the actual revenue is exactly at the midpoint of 50 and 60, so instead of taking the midpoint 55, we can also take it to be 54 or 56.

Then the value of *n* can be 4 or 6 too.

Maths-

### Sheela wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m^{2} and the perpendicular distance between the two parallel sides is 100m , find the length of the side along the river.

### Sheela wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m^{2} and the perpendicular distance between the two parallel sides is 100m , find the length of the side along the river.

Maths-General

Maths-

### Which of the following lines pass through origin?

### Which of the following lines pass through origin?

Maths-General

Maths-

### The perimeter of a rectangle is 28 cm and its length is 8 cm. Find its:

(i) breadth (ii) area

### The perimeter of a rectangle is 28 cm and its length is 8 cm. Find its:

(i) breadth (ii) area

Maths-General

Maths-

### Find the area of a trapezium whose parallel sides are 77cm and 60cm and the other two sides are 25cm and 26cm.

### Find the area of a trapezium whose parallel sides are 77cm and 60cm and the other two sides are 25cm and 26cm.

Maths-General

Maths-

### Find the total area in the given figure.

### Find the total area in the given figure.

Maths-General

Maths-

### A cylindrical jar whose base has a radius 15 cm. is filled with water up to a height of 20 cm. A solid iron spherical ball of radius 10 cm is dropped in the jar to submerge completely in the water. Find the increase in the level of water?

### A cylindrical jar whose base has a radius 15 cm. is filled with water up to a height of 20 cm. A solid iron spherical ball of radius 10 cm is dropped in the jar to submerge completely in the water. Find the increase in the level of water?

Maths-General

Maths-

### The parallel sides of a trapezium are 30cm and 40cm and the other sides are 24cm and 26cm. Find its area?

### The parallel sides of a trapezium are 30cm and 40cm and the other sides are 24cm and 26cm. Find its area?

Maths-General

Maths-

### A right triangular park is to be designed such that the angles other than 90° must be equal. What should be the angle dimensions of the park?

### A right triangular park is to be designed such that the angles other than 90° must be equal. What should be the angle dimensions of the park?

Maths-General

Maths-

### A regular polygon with 3 sides is shown below. Find the value of x.

### A regular polygon with 3 sides is shown below. Find the value of x.

Maths-General

Maths-

### 5 If , also find the value of .

### 5 If , also find the value of .

Maths-General

Maths-

### What additional information is necessary to prove that the given triangles are congruent by AAS congruence postulate?

### What additional information is necessary to prove that the given triangles are congruent by AAS congruence postulate?

Maths-General

Maths-

### Are the given triangles congruent? Explain why or why not.

### Are the given triangles congruent? Explain why or why not.

Maths-General

Maths-

### Are the given triangles congruent? Explain why or why not.

### Are the given triangles congruent? Explain why or why not.

Maths-General