Question

4. The perimeter of a rectangular plot is 32 m. If the length I is increased by 2 m and
the breadtr bis decreased by 1m, the area of the plot remains the same. Then the values
of I and b are respectively .
(1) 6m, 10m
(2) 10m, 6m
(3) 10m, 10m
(4) 6m, 6m​

Answer 1

Answer:

Here is your answer....

Step-by-step explanation:

GIVEN : The perimeter of the rectangular plot is 32 metre if the length is increased by 2 metre and breath decrease by 1 m, the area of the plot remains the same.

FIND : Length and Breadth

SOLUTION : Let Length = L and Breadth = B

Perimeter = 32 => ( 2 L + B ) = 32

L + B = 16

As length become ( L + 2 ) m

As breadth become ( B - 1 ) m

Area remains same

( L + 2 ) ( B - 1 ) = Lb

Lb - L + 2b -2 = Lb

L - 2b = -2

From (1) and (2) adding these and multiply

(1) by 2

3L = 30 =>. L = 10m

B from 1 B = 6 m

ANSWER : Length = 10m

Breadth = 6m

thus, Option 2 is correct.....

I hope it will help you...