Question

14. Find the dimensions of a
garden, whose length is 4 m
more than its width and half
the perimeter is 36 m.
O (a) 20 m × 16 m
O (b) 14 m x 10 m
(c) 26 m × 22 m
O (d) 12 m x 8 m​

Answer 1

Answer:

option a ) 20 x 16 m

Step-by-step explanation:

Length of rectangular garden be ‘x’ m.

Breadth of rectangular garden be ‘y’ m,

then Length of the garden is 4m more

than its width. x = y + 4 ……….. (i)

x – y = 4 Half of the circumference is 36 m.

= 36 2x + 2y = 72 x + y = 36 …………… (ii)

∴ x – y = 4 (i) x + y = 36 (ii) From eqn. (i) + eqn. (ii) ∴ x = 20 m.

Substituting the value of ’x’ in eqn.

(i) x – y = 4 20 – y = 4 -y = 4 – 20 -y = -16 y = 16 m.

∴ Length of the garden = 20 m.

Breadth of the garden = 16 m.