Question

10. An agricultural field is in the form of a
rectangle having length X, meters and
breadth X meters (X, and X, are variable).
If X, + X2 = 40 meters, then the area of
the agricultural field will not exceed which
one of the following values ?​

Answer 1

Answer:

The value will not exceed 40 as

Side(X) + area(X^2)=40

Area(X^2)=40-side(X)

Area(X^2)<40

Step-by-step explanation:

A rectangle with same breadth(X) & length(X) is a square.

We can now solve the equation:

=> X+X^2=40

=> X^2+X-40=0

Using Brahmagupt's formula:

X=(-1+√(((-1)^2)-(4*1*(-40))))/2

X=(-1+√161)/2

The area would not exceed X^2 as it the area itself.

X^2=(1+161-2√161)/4

X^2=(162-2√161)/4

X^2=(81-√161)/2~=37.5 meters^2