Question

The length of a rectangular park is three times as its breadth .If the area of the park is 48m2 ,find the dimensions.
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Answer 1

Answer:

412

Step-by-step explanation:

let length is 3x

breath is x

area =l×b

48=3x×x

48=3x^2

48/3=x^2

16=x^2

4=x

length=12

breath 4

Answer 2

Answer :

Length of Rectangular park = 12m

Breadth of Rectangular park = 4m

Step-by-step Explanation :

Given : length = 3 × breadth of rectangular park

Area of park = 48m²

To find : Length and breadth of park = ?

Let the breath of the park be ' b ' and length be ' l '

So according to given conditions,

l = 3b --------------(1)

We know that,

Area of Rectangle = length × breadth

Substituting the value in above formula we get,

Area of Rectangle = 3b × b

48 = 3b²

b² = 48/3 = 16

b = 4 m ----------(2)

Substituting b= 4 in equation 1

We get ,

l = 3 × 4 = 12 m

Hence length of Rectangle = 12 m & breadth of Rectangle = 4m