Question

the area of rectangle is x²+2x-15 sq. units if the length is (x+5) units find it's breath ? a) (x-3) b) (x+2) c) (x-5) d) none​

Answer 1

Area of the rectangle is x² + 2x - 15 sq. units

Let's solve this quadratic equation by splitting the middle term method ,

⇒ x² + 2x - 15

⇒ x² - 3x + 5x - 15

⇒ x (x - 3) + 5 (x - 3)

⇒ (x - 3) (x + 5)

Length of the rectangle = x + 5 units

Breadth of the rectangle = ? units

We know that , " Area of the rectangle is defined as product of length and breadth "

$:\implies \sf Area_{Rectangle}=Length\times Breadth$

$:\implies \sf x^2+2x-15=(x+5)\times Breadth$

$:\implies \sf (x-3)(x+5)=(x+5)\times Breadth$

$:\implies \sf (x-3)=Breadth$

$:\implies \sf \orange{Breadth=(x-3)\ units}$

Option (a)

Answer 2

Answer:

a (x-3)

Step-by-step explanation:

Area of rectangle=Length×breadth

area=x2+2x-15 sq units

length=x+5 units

let breadth=x units

then

x2+2x-15=(x+5)(x)

x=(x2+5x-3x-15)/x+5

x=x(x+5)-3(x+5)/x+5

x=(x-3)(x+5)/x+5

x=x-3