Question

pls answer the qs.07 sorry for the blur pic

Answer 1

Answer:

9000 m²

Step-by-step explanation:

Let the sides are 25x , 17x , 12 x

Perimeter of a ∆ = sum of three sides

25x + 17x + 12x = 540

54x = 540

x = 10

1st side (a) - 25x = 25×10= 250m

2nd side(b)= 17x = 17×10= 170m

3rd side (c)= 12x = 12 × 10 =120m

Semi - perimeter ( S) = a+b+c/2

                                   = (250 + 170+120)/2 = 540/2 = 270 m

Area of the ∆= √ S(S - a)(S - b)(S - c)               [By Heron’s Formula]

                     = √ S(S - 250)(S - 170)(S - 120)

                      = √ 270(270 - 250)(270 - 170)(270 - 120)

                      = √ 270× 20×100×150

                      = √ 81000000

Area of the ∆= 9000 m²

Hence, the Area of the ∆= 9000 m²

Answer 2

Answer:

Answer is attached below with explanations.

Step-by-step explanation:

$given \: that \: perimeter \: of \: triangular \: field \\ is \: 540 \: m \\ sides \: are \: in \: the \: ratio \: of \: 25 : 17 : 12 \\ then \: \\ 25x + 17x + 12x = 540 \\ 54x = 540 \\ x = \frac{540}{54} \\ x = 10 \\ distance \: of \: first \: side = 25(10) = 250 \\ distance \: of \: second \: side = 17(10) = 170 \\ distance \: of \: third \: side = 12(10) = 120 \\ by \: heron \: s \: formula \\ area \: of \: triangle \: \\ = \sqrt{s(s - a)(s - b)(s - c)} \\ here \: a = 250 \: \: b = 170 \: \: \: c = 120 \\ s = \frac{a + b + c}{2} \\ = \frac{250 + 170 + 120}{2} \\ = 270 \\ area \: \\ = \sqrt{270 \times( 270 - 250)(270 - 170)(270 - 120)} \\ = \sqrt{270 \times 20 \times 100 \times 150} \\ = \sqrt{81000000} \\ = 9000$

Area of triangle is 9000 sq.units.

Have a nice day.