Advertisements
Advertisements
प्रश्न
The figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.
Advertisements
उत्तर
We have a wall of dimension 5x × (5x + 2) having a window and a door of dimension (2x × x) and (3x × x), respectively.
Then, area of the window = 2x × x = 2x2 sq.units
Area of the door = 3x × x = 3x2 sq.units
And area of wall = (5x + 2) × 5x = (25x2 + 10x) sq.units
Now, area of the required part of the wall to be painted
= Area of the wall – (Area of the window + Area of the door)
= 25x2 + 10x – (2x2 + 3x2)
= 25x2 + 10x – 5x2
= 20x2 + 10x
= 2 × 2 × 5 × x × x + 2 × 5 × x
= 2 × 5 × x(2x + 1)
= 10x(2x + 1) sq.units
APPEARS IN
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Sum of numbers a and b subtracted from their product.
Factorize 8x2 + y3 +12x2 y + 6xy2
If \[x^2 + \frac{1}{x^2} = 18,\] find the values of \[x + \frac{1}{x} \text { and } x - \frac{1}{x} .\]
27x3 − y3 − z3 − 9xyz
Divide: 5x2 - 3x by x
Write in the form of an algebraic expression:
Area of a square is square of its side.
A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?
In the given figure, the length of a green side is given by g and that of the red side is given by p.
Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together.
Will the value of 11x for x = –5 be greater than 11 or less than 11? Explain.
Match Column I with Column II in the following:
| Column I | Column II |
| 1. The difference of 3 and a number squared | (a) 4 – 2x |
| 2. 5 less than twice a number squared | (b) n2 – 3 |
| 3. Five minus twice the square of a number | (c) 2n2 – 5 |
| 4. Four minus a number multiplied by 2 | (d) 5 – 2n2 |
| 5. Seven times the sum of a number and 1 | (e) 3 – n2 |
| 6. A number squared plus 6 | (f) 2(n + 6) |
| 7. 2 times the sum of a number and 6 | (g) 7(n + 1) |
| 8. Three less than the square of a number | (h) n2 + 6 |
