Points a(-2,3), b(-5,-4), and c(2,-1) form triangle abc on a coordinate plane. what is the area of this triangle in square units?

1. Draw an accurate picture of the triangle in the coordinate axes, as shown in the attached picture.

2. Circumscribe a rectangle about the triangle, as shown in the picture. The coordinates of the points M, N, T are easily identifiable as shown in the picture.

3. The area of the triangle ABC is  The area of the rectangle - Area 1- Area 2- Area 3.

Area 1 = 1/2(3*7)=21/2
Area 2 = 1/2(4*4)=1/2*16=8
Area 3 = 1/2( 3*7)=21/2

Area 1+Area 2+Area 3=21/2+21/2+8=21+8=29 (units squared)

Area rectangle=  7*7=49 (units squared)

Area of triangle is 20 units squared.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.