Question

a rectangular field is twice as long as its width if its area is 14450 square metre find its sides​

Answer 1

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Given:

A rectangular field has its length twice than it's width and area is 14450 square meter

To find:

Length and width = ?

Solution:

Let x be the width of rectangular field.

Let x be the width of rectangular field. So, usually 2x will be the length

$\\ \\ Area \: of \: rectangle \: = l \times b \\ \\ where \: l \: = \: length \\ \\ b = breadth \: or \: width$

$\\ Area \: of \: rectagular \: field \: \\ 14450 = 2x \times x \\ \\ 14450= 2x {}^{2} \\ \\ \dfrac{14450}{2} = x {}^{2}$

$\\ \\ 7225 = x {}^{2} \\ \\ 85 = x$

Substituting value of x in length and width, we get

$\\ \: l = 2x \\ \\ l = 2 \times 85 \\ \\ l = 170 \: m \\ \\ length \: is \: 170 \: m$

$\\ b = x \\ \\ b = 85 \: m \\ \\ breadth \: \: is \: \: 85 \: m$

Required answer:

Thus, in rectangular field length is 170 meter and breadth is 85 meter

Basic points:

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Answer 2

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