Question

In a circular grassy plot, a quadrilateral shape with its corners touching the boundary of the plot is to be paved with bricks. Find the area of the quadrilateral when the sides of the quadrilateral are $36m,77m,75m,40m$.

• A. $4686$ square meter
• B. $2886$ square meter
• C. $3856$ square meter
• D. None of these

Answer 1

The correct option is B $2886$ square meter

$a=36m,b=77m,c=75m,d=40m$

$S=\frac{a+b+c+d}{2}=114$

$A=\sqrt{(s-a)(s-b)(s-c)(s-d)}$

$=\sqrt{78\times 37\times 39\times 74}={2886m}^2$