Question

A(2, 1), B(2, 4) C(6, 4) and D(6, 1) are the vertices of a rectangle.
a) Find the area of rectangle ABCD.
b) E(3, 4) is a point on BC. Find the area of triangle AED
c) What is the relationship between the area of the rectangle ABCD and the triangle AED?

Answer 1

Just draw it out, find the length and width and multiply

Answer 2

or u can use distance formula, but graphing is probably the best option..

Answer 3

Area = AB*BC (length*width)
AB = sqrt[(2-2)^2 + (4-1)^2]
AB = 3
BC = sqrt[(6-2)^2 + (4-4)^2]
BC = 4
area = 4*3 = 12 square units

Answer 4

the best answer! i loved your step by step process! keep it up.