Area and Perimeter Practice Test 2

Let one side of the garden be x m then another side =

30−x

2

m.
Now, x×

(30−x)

2

= 100
⇒ 30x – x2 = 200
⇒ x2 – 30x + 200 = 0
⇒ (x – 20) (x – 10) = 0
Hence, x = 20 or 10; Taking x = 20 only because if we take x = 10 then plot will be square shape.
Since, another side =

30−20

2

= 5 m
Hence, dimension of the garden = 20 m × 5 m.