Question

A park is in the shape of a parallelogram as shown in the figure. Area of the park is

(a) 750√7 m2
(b) 375√7 m2
(c) 350 m2

(d) 700m2
​

Answer 1

Answer:

I am not knowing the answer so please sorry

Answer 2

Given: Parallelogram

$a=40m$

$b=50m$

$c=60m$

To Find: Area of the parallelogram

Solution,

Using Heron's formula:

$s=\frac{a+b+c}{2}$

$s=\frac{40+60+50}{2}$

$s=\frac{150}{2}$

$s=75$

Calculating the area:

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

$A=\sqrt{75(75-40)(75-50)(75-60)}$

$A=\sqrt{75(35)(25)(15)}$

$A=\sqrt{984375}$

$A=992.1567$

Multiplying the area by $2$:

$A=992.1567\times2$

$A=1984.3134$

Converting the decimal into radical:

Multiplying $1984.3134$ by itself until a whole number is attained

$1984.3134=750\sqrt{7}m^{2}$

Final Answer: The area of a parallelogram is (a)$750\sqrt{7} m^{2}$.