Question

If the perimeter of the triangle is 82 metres and the area is 400metre square, the breadth of the rectangle is

Answer 1

Answer:

Let the length and breadth be = l and b

2 ( l + b ) = 82

=> l + b = 41

=> l = 41 - b ... (1)

lb = 400 ... (2)

(1) in (2) :

b^2 - 41b + 400 = 0

When you will take out the zeroes, you'll get:

b = 16 m , 25 m

Both are the possible values of the breadth

Answer 2

Answer:

16 m or 25 m

Step-by-step explanation:

Let the breadth be 'B'

We know that,

Perimeter of rectangle = 2( L + B )

Given that :

Perimeter = 82

2 ( L + B ) = 82

L + B = 41

» L = 41 - B.. (1)

Now,

Area of rectangle = L × B

Given that,

Area = 400m²

So,

L × B = 400

( 41 - B ) × B = 400.. From (1)

41B - B² = 400

-B² + 41B - 400 = 0

B² - 41B + 400 = 0

B² - 25B + 16B + 400 = 0

B(B - 25) - 16( B - 25 ) = 0

(B - 16) (B - 25) = 0

B = 16 or B = 25

Thus,

There are 2 possible measures of B » 16 metres or 25 metres.