Question

the area of a rectangle is 147 square metres. the length of the rectangle is three times its width. find the length and width of the rectangle.
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Answer 1

☆Answer☆

Area of a rectangle = length × breadth

Here it is given that area = 147

So length × breadth = 147

Let us assume breadth as x metres

Then length = 3x metres

3x × x = 147

3x²=147

X²= 147/3

X²=49

X=7

Therefore, Breadth = 7 metres

Length = 3X = 3×7 = 21 metres

☆Extra Knowledge ☆

Perimeter of rectangle = 2(l+b)

Perimeter of square = 4× side

Area of square = side × side

Answer 2

Step-by-step explanation:

Let the width of the rectangle be x

then length will be 3x

Given:-

$\sf Length=3x \\ \sf </p><p>Width=x \\ \sf </p><p>Area \: of \: rectangle=147sq.m$

To find:-

The value of x.

Solution:-

$\sf We \; know \: that, \\ \\ \sf Area \: of \: the \: rectangle \implies length \times width \\ \\ \sf \implies 147m^2=3x \times x \\ \\ \sf \implies 147m^2=3x^2 \\ \\ \sf \implies x^2 = \dfrac{147}{3} \\ \\ \implies \sf x^2 = 49 \\ \\ \sf \implies x= \sqrt{49} \\ \\ \sf x = 7$

Length= 3x = 3 × 7m = 21m

Breadth= x = 7m

Additional Information:-

In these types of questions, where the ratio is given, considering the units as variables is best option to find the values.