Advertisements
Advertisements
Question
The area of a rectangle is 6x2 – 4xy – 10y2 square unit and its length is 2x + 2y unit. Find its breadth.
Advertisements
Solution
Area of a rectangle
= 6x2 - 4xy - 10y2 sq.units
Length = 2x + 2y units
∴ Breadth = `"Area"/"Length"`
`= ("6x"^2 - 4"xy" - 10"y"^2)/"2x + 2y"`
3x - 5y
`"2x" + "2y")overline(6"x"^2 - 4"xy" - 10"y"^2)(`
6x2 + 6xy
- -
- 10xy - 10y2
- 10xy - 10y2
+ +
xxxx
= 3x - 5y units
Hence breadthy = 3x - 5y units
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-half of the sum of numbers x and y.
Factorize `6ab - b^2 + 12ac - 2bc`
Factorize the following expressions
8x3 y3 + 27a3
Factorize the following expressions:
(a + b)3 – 8(a – b)3
Factorize the following expressions:
`a^3 - 1/a^3 - 2a + 2/a`
8x3 + 27y3 - 216z3 + 108xyz
Factorize: x4 + x2 + 25.
Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`
Divide: 5x2 - 3x by x
Find the average (A) of four quantities p, q, r and s. If A = 6, p = 3, q = 5 and r = 7; find the value of s.
