Respuesta :
Answer:
Given, hope it helps!
Step-by-step explanation:
Perimeter= 510 feet
Perimeter is the sum of sides so..
16x + 11x + 24x = 510
51x = 510
x = 510/51 = 10
(10*24), (10*11), (10*16)
So the sides are 160ft 110ft and 240ft
Area is equal to √s(s-a)(s-b)(s-c)
where s is the semiperimeter= 510/2 = 255
and a, b and c are the sides
area =
√ 255(255-240)(255-110)(255-160)
= √ 255*15*145*95
= √ 52,689,375
= 7258.74 feet ^2
Answer:
A=7258.74472
Step-by-step explanation:
Multiply the side ratios by x
Add them together to get the perimeter
11x+16x+24x = 510
51 x =510
x = 10
The sides are 110, 160 240
We have to use herons formula
A = sqrt( p (p-a) (p-b)(p-c)) where p is the perimeter/2 and a,b,c are the side lengths
A = sqrt( 510/2 (510/2-110) (510/2-160)(510/2-240))
A = sqrt( 255 (145) (95)(15))
A = sqrt(52689375)
A=7258.74472