The length of a rectangle is 2,cm less than 3 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the breadth of the rectangle be $x\,cm$.Then,by the given condition,the length of the rectangle is $(3x - 2)\,cm$.Now,by the data,the area of

Vedclass · Accepted Answer

$28$

Vedclass · Answer

(C) Let the breadth of the rectangle be $x\,cm$.Then,by the given condition,the length of the rectangle is $(3x - 2)\,cm$.Now,by the data,the area of the rectangle is $280\,cm^2$.$	herefore$ Area of rectangle $= 280$$	herefore$ Length $	imes$ Breadth $= 280$$	herefore (3x - 2)(x) = 280$$	herefore 3x^2 - 2x = 280$$	herefore 3x^2 - 2x - 280 = 0$$	herefore (3x + 28)(x - 10) = 0$$	herefore 3x + 28 = 0$ or $x - 10 = 0$$	herefore x = -\frac{28}{3}$ or $x = 10$As $x$ is the breadth of a rectangle,it cannot be negative.$	herefore x = -\frac{28}{3}$ is not possible.$	herefore x = 10$Now,the length of the rectangle $= 3x - 2 = 3(10) - 2 = 28\,cm$.Hence,the length of the given rectangle is $28\,cm$.

The length of a rectangle is $2\,cm$ less than $3$ times its breadth. If its area is $280\,cm^2$,then find its length.

Similar Questions

Find the discriminant of the following quadratic equation and hence determine the nature of the roots of the equation: $3x^{2} + x - 2 = 0$.

Find the roots of the following quadratic equation by using the quadratic formula,if they exist: $9x^{2} - 5x + 3 = 0$.

If the roots of the quadratic equation $5x(2x - 3) - 4 = 0$ exist,find them using the method of completing the square.

Find the roots of the following quadratic equation by the method of completing the square: $m^{2}-18m+81=0$

Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $9x^2 + 6x + 4 = 0$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module