Advertisements
Advertisements
Question
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths, respectively.
(p, q); (10m, 5n); (20x2, 5y2); (4x, 3x2); (3mn, 4np)
Advertisements
Solution
| Length | Breadth | Area |
| p | q | pq |
| 10m | 5n | 10m × 5n = 50mn |
| 20x2 | 5y2 | 20x2 × 5y2 = 100x2y2 |
| 4x | 3x2 | 4x × 3x2 = 12x3 |
| 3mn | 4np | 3mn × 4np = 12mn2p |
APPEARS IN
RELATED QUESTIONS
Find the product of the following pair of monomial.
4p3, − 3p
Obtain the volume of a rectangular box with the following length, breadth, and height, respectively.
5a, 3a2, 7a4
Obtain the product of xy, yz, zx.
Express each of the following product as a monomials and verify the result for x = 1, y = 2: \[\left( - \frac{4}{7} a^2 b \right) \times \left( - \frac{2}{3} b^2 c \right) \times \left( - \frac{7}{6} c^2 a \right)\]
Multiply: −5cd2 by − 5cd2
Multiply: `2"a"^3-3"a"^2"b"` and `-1/2"ab"^2`
| Length | breadth | height | |
| (i) | 2ax | 3by | 5cz |
| (ii) | m2n | n2p | p2m |
| (iii) | 2q | 4q2 | 8q3 |
The length of a rectangle is `1/3` of its breadth. If its perimeter is 64 m, then find the length and breadth of the rectangle.
A total of 90 currency notes, consisting only of ₹ 5 and ₹ 10 denominations, amount to ₹ 500. Find the number of notes in each denomination.
Multiply the following:
7pqr, (p – q + r)
