Question

If the length and breadth of a room are increased by y feet each, the perimeter increases by 16 feet. find y

Answer 1

2a +2b = c
2(a+ b) =c+16
solve this equation
we get 4

Answer 2

Answer:

The value of y is 4

Step-by-step explanation:

Step 1:

Given Data:  

LET US ASSUME:

LENGTH = L

BREADTH = B

Step 2:

2 (L + B) = PERIMETER    (assume perimeter =X)

2 (L + B) = X

2 (L + Y + B + Y) = X + 16

Step 3:

2 (L + B + 2Y) = X + 16

2 (L + B) + 4Y= X + 16

Step 4:

AS, 2 (L + B) = Y

SO :

X + 4Y= X+ 16

Step 5:

X + 4Y – 4Y = X + 16 – 4Y

X = X+ 16 – 4Y

Step 6:

X + 16 – 4Y = X

16 - 4X = Y - Y

16 – 4Y= 0

Step 7:

- 4Y= - 16

- Y= - 16 / 4

- Y = - 4

Y = 4