The area of a rectangular field is 150 sq. units. If its perimeter is 50 units, then its dimensions are

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7,5

3,50

5,30

10,15

answer is D.

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Detailed Solution

Concept: We can assume two variables: length and width. You can write area and perimeter with length and width variables. Given the conditions, we can create two equations and by solving these equations we can get the longitude and latitude.
Suppose l be the length of the rectangle and b be the width of the rectangle. Next, the area of
the rectangle is given by

. However, the area is given as 150 square meters. So we get

... (1)
The perimeter of the rectangle is given by

.However, the scope is specified as 50 units. So we get

If you divide it by 2 continuously, you get:

… (2)
Equation (1) can be written as follows.

.. (3)
Substituting l into equation (2) gives:

Multiplying by b all the time gives:

You can solve the quadratic equation to get the value of b
Question Image

The length can be calculated by substituting the value of b into equation (3) .
If

units, then

units
If

units, then