Question

Find its length... show working

Answer 1

Answer:

Let length be x

so,

2(x+x+7)=x2+12x +35

4x+14=x2+12x+35

ans+x2/4

Answer 2

Question:

The area of a rectangle is (x² + 12x + 35) sq. units and its breadth is (x+7) units. Find its length.

Answer:

The length of a rectangle = l = (x + 5) units

Step-by-step explanation:

Given:

• Area of a rectangle = (x² + 12x + 35) sq. units
• Breadth of a rectangle = (x + 7) units.

To find:

• The length of a rectangle.

Solution:

♦ Area of a rectangle = l × b

Where,

l is the length of a rectangle.

b is the breadth of a rectangle.

Putting the values in the formula, we have:

• (x² + 12x + 35) = l × (x + 7)

Finding the factors of area,

• x² + 5x + 7x + 35 = l × (x + 7)
• x(x + 5) +7(x + 5) = l × (x + 7)
• (x + 7) (x + 5) = l × (x + 7)
• l = ( (x + 7) (x + 5) )/(x + 7)

(x + 7) in both numerator and denominator gets cancel, we get:

• l = (x + 5) units

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