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Kryger [21]
2 years ago
8

the area of a rectangular field is 18000m^2 if the ratio of length and breath is 5:4 find its perimeter

Mathematics
1 answer:
zavuch27 [327]2 years ago
8 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{540 \: m}}}}}

Step-by-step explanation:

Let the length and breadth be 5x and 4x respectively.

Area of rectangular field = 18000 m²

<u>Finding </u><u>the </u><u>value </u><u>of </u><u>x</u>

Area of rectangle = \sf{l \times b}

Plug the values

⇒\sf{18000 = 5x \times 4x}

Calculate the product

⇒\sf{18000 = 20 {x}^{2} }

Swap the sides of the equation

⇒\sf{20 {x}^{2}  = 18000}

Divide both sides of the equation by 20

⇒\sf{ \frac{20 {x}^{2} }{20}  =  \frac{18000}{20} }

Calculate

⇒\sf{ {x}^{2}  = 900}

Squaring on both sides

⇒\sf{x = 30}

<u>Replacing the value of x in order to find the value of length and breadth</u>

Length = \sf{5x = 5 \times 30 = 150 \: m}

Breadth = \sf{4x = 4 \times 30 = 120 \: m}

<u>Finding </u><u>the </u><u>perimeter</u><u> </u><u>of </u><u>the </u><u>rectangular</u><u> </u><u>field</u>

Perimeter of rectangle = \sf{2(l + b)}

plug the values

⇒\sf{2(150 + 120)}

Distribute 2 through the parentheses

⇒\sf{300 + 240}

Add the numbers

⇒\sf{540 \: m}

Hope I helped !

Best regards!!

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