Question

A rectangular field is half as wide it is long and is completely enclosed by x metres of fencing.find the area in terms of x will be??

Answer 1

Given:

Width of field = Length of field/2

Perimeter = x metres

To find:

We have to find the area of rectangle in terms of x

Solution:

Let length of rectangle = L

Then Width = L/2

Now perimeter = 2( Length + Breadth )

                    x   = 2( L + L/2)

                    x   = 3L _ _(1)

Area = ( Length × Breadth )

        =  ( L × L/2 )

        =  ( 3L²/2 )

But from (1) we get  L= x/3

Area  = $\frac{3(\frac{x}{3} ^{2})}{2}$

Area = $\frac{x^{2} }{6}$

∴Area of rectangular field in terms of x is  x²/6  sq.m

Answer 2

Answer:

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