Question

Question 1 options:

A rectangle with a width of 2x + 3 and a length of 4, has the same area as a triangle with a base of 6 and a height of 3x – 2. Solve the following.

x =

Area of triangle =

Answer 1

x = 18 units.

Area of triangle = 156 units^2.

Explanation:

Area of the rectangle = 4(2x + 3) and the area of the triangle = 1/2*6*(3x - 2).

These are equal, so:

4(2x + 3) = 1/2*6*(3x - 2)

8x + 12 = 9x - 6

12 + 6 = 9x - 8x

x = 18.

Area of triangle = 1/2 * 6 * (3(18) - 2)

= 3 * 52

= 156 units^2.