Triangle A is a scaled version of triangle B. The dimensions of triangle B are twice the dimensions of triangle A. The area of triangle B is 144 sq cm.
What is the area of triangle A?

576 sq cm

Step-by-step explanation:

For example imagine a rectangle, the area of which is width * height = area

If you multiply the dimensions by 2 you multiply the width AND the height which is 2 * width * 2 * height = 4 * width * height

This is true for all scalings, if you times the dimensions by n, you times the area by n^2

144 * 2^2 = 576

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions