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Find the area of the following ​

Find the area of the following ​-example-1
User Erwin Van Hoof
by
3.2k points

1 Answer

23 votes
23 votes

Answer:

24000 ft²

Explanation:

Triangle PRS:

b = base = PR = 240 ft

2AS = 240 ft


\sf AS = (240)/(2)\\\\ AS = 120 \ ft

h = height = AS = 120 ft


\sf \boxed{\bf \ Area \ of \ triangle = (1)/(2)b*h}


\sf =(1)/(2)*240*120\\\\ = 120 * 120\\\\ = 14400 \ ft^2

Triangle PRQ:

b = PR = 240 ft

3BQ = 240 ft


\sf BQ = (240)/(3)\\\\ BQ = 80 \ ft


\sf Area \ of \ triangle \ PRQ = (1)/(2)*240*80

= 120 * 80

= 9600 ft²

Area of the quadrilateral PQRS = area of ΔPRS + area of ΔPRQ

= 14400 + 9600

= 24000 ft²

User Stanislav Borzenko
by
3.3k points