A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

4a x 6b = (4 x 6) (a x b) = 24ab

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

You need to find the value of c so solve the first equation in terms of z:

6c + z = -5
z = -5 - 6c

then substitute the result (-5 - 6c) into the second equation:

-3c + 7(-5 - 6c) = 6
-3c + (7 x -5) + (7 x -6c) = 6
-3c - 35 - 42c = 6
-3c - 42c = 6 + 35
-45c = 41
c = \( \frac{41}{-45} \)
c = -\(\frac{41}{45}\)

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 4 x 1 = \( \frac{4}{2} \) = 2