Math, asked by loika, 1 year ago

the area of a rectangular lawn is 5/16 hectare . the ratio of the base :height is 1:5.the height of the lawn is

Answers

Answered by ria113

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Answered by guruu99

Answer:

The base of the rectangular lawn is 10 meters, and the height is 5 times the base, which is 50 meters.

Step-by-step explanation:

Let the base of the rectangular lawn be x, then the height would be 5x since the ratio of the base to the height is 1:5.

The area of the rectangular lawn is given as 5/16 hectare, which is equivalent to 500 square meters (1 hectare = 10,000 square meters).

So, we can set up the equation:

x * 5x = 500

Simplifying this equation, we get:

5x^2 = 500

Dividing both sides by 5, we get:

x^2 = 100

Taking the square root of both sides, we get:

x = 10

Therefore, the base of the rectangular lawn is 10 meters, and the height is 5 times the base, which is 50 meters.