Question

Photo above! How do I find the area of this? It says the answer is 1027ft but whenever I do it I don't get that

Answer 1

2 ways

cut into rectangle and triangle
2 recognize teh trapezoid


cut into rectangle and triangle
area of rectnagle=height times base

are oftrianngle=height times base times 1/2

rectangle=26 times 31=806

triangle

we have to know the base legnth
since the top is 31
and bottom is 48
the extra bit is 48-31=17
base=17
height=26
area=1/2 times 26 times 17=221

add
rectangle+traingle=806+221=1027 square units

other way
area of trapezoid=1/2(b1+b2) times height
b1=31
b2=48
height=26
A=1/2(31+48) times 26
A=1027 squaer units

Answer 2

Total area = area of rectangle + area of triangle

area of rectangle = l * w

area of triangle= 1/2 ( b * h )



rectangle- 26 * 31 = 806

triangle- 1/2 ( 26 * 17 ) [ <-- 48 - 31 ] = 221

221 + 806 = 1027 ft squared