Question

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

Answer 1

↑ Here is your answer ↓
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Let the height and breadth be '5x' and 'x' respectively,

Area of a rectangle,

$= l*b$

$= x*5x$

$= 5x^2$

Now equate,

$5x^2 = 5/16$

'5' is cacelled out,

$x^2 = 1/16$

$x = 1/4$

Now height of the lawn,

$= 5x$

$= 5 * 1/4$

$= 5/4$

$= 1.25$

Answer 2

The answer is given below :

We know that,

1 hectare = 10000 m²

5/16 hectares = 3125 m²

The ratio of base : height = 1 : 5

Let, x be the common multiple.

Then, the base and the height of the rectangular line are x hectares and 5x hectares.

The area of the rectangular field

= base × height

= x × 5x m²

= 5x² m²

Given that,

5x² = 3125

=> x² = 625

So, x = 625, we take the positive value.

So, the base of rectangular lawn is 625 m and height be 3125 m.

Thank you for your question.