Question

The length of a rectangular park is thrice it's breadth.If the area of the park is 48m2 find the dimensions​

Answer 1

Answer:

∴ Length of the rectangular park is $12$ m and breadth is $4$ m.

Step-by-step explanation:

• In context to question asked,
• We have to find the dimensions of the rectangular park.
• It is given that area of the park = $48$ $m^{2}$
• The length of a rectangular park is thrice it's breadth.
• Let, $x$ be the breadth of the rectangular park.
• Hence, according to condition given, the length of the rectangular park be $3x$.
• Now, by using the formula for area of the rectangular park, we can find the dimensions of the rectangular park.

• So,

    Area of the rectangular park = $l*b$

                                    ∴ $48=3x*x$

                                     ∴ $48=3x^{2}$

                                      ∴ $x^{2} =\frac{48}{3}$

                                       ∴ $x^{2} =16$

• Taking square roots of both the sides, we get

                                        ∴ $x=4$ m

• Now, Breadth of rectangular park = $4$ m

        Length = $3x=3*4=12$ m

• ∴ Length of the rectangular park is $12$ m and breadth is $4$ m.