Question

the rectangular playground in Tim's school is 3 times as long as it is wide. The area of the playground is 75 square meters. What is the perimeter of the playground?

Answer 1

Answer: 40 m

Step-by-step explanation:

• Let the width of the playground be x metres.
• So,length of playground will be 3x metres.
• Given area =75$m^{2}$
• Now, $x*3x=75$

              ⇒$3x^{2} =75$

              ⇒$x^{2} =\frac{75}{3}$

              ⇒$x=\sqrt{25}$

              ∴ x=5 m

So,length=15 m

• Perimeter=2( l + b )

                         =2( 15+5 )

                         = 40 m

• Hence, the perimeter of the field  is 40 m.

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Answer 2

Answer:

Step-by-step explanation:

Given:

width is x

then length is 3x

area is 75

fornula for area:

area=l × b

75= 3x × x

75 = 3x^2

75÷3 = x^2

25 = x^2

5 = x

Length = 3^x

= 3×5

=15

w = x = 5

perimeter = 2( length + width )

= 2 (15 + 5 )

= 2 × 20

= 40 meters

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