Question

The area of a rectangular lawn is (y

2 + 7y + 10) square units and length is (y+5) units , Find the

breadth of the rectangle.​

Answer 1

Given,

Area of rectangle = (y²+7y+10)

Length of rectangle = (y+5)

To Find,

The breadth of the rectangle.

Solution,

The are of rectangle = length*breadth

y²+7y+10 = (y+5)(y+2)

After factorizing the equation of area we got two factors, from which one is the length and the other one is breadth.

Length = (y+5)

Breadth =(y+2)

Hence, the breadth of the rectangle is (y+2) units.

Answer 2

The breadth of the rectangle is

Step-by-step explanation:

Given:

Area $=y^{2}$$+7y+10$ ;  length=$y+5$

To be found:

To find the breadth of the rectangle

Formula:

Area of a rectangle $=$ length × breadth

Solution:

Area of a rectangle $=$ length × breadth

length = (y+5) units

Area = ($y^{2}$+7y+10) sq. units

Apply it to the formula,

⇒ ($y^{2}$+7y+10) $=$ (y+5) × breadth

⇒ breadth $=$ $(y^{2}$+7y+10) / (y+5)

The factors of the equation, $y^{2}$+7y+10 are (y+5) and (y+2).

⇒ breadth $=$ (y+5)(y+2) / (y+5)

⇒ breadth $=$ (y+2) units.