Question

1. evaluate: $(-5)(+6) - (-4)(+3) - (-2)$
2. find the perimeter and area of this parallelogram. dimensions are in yards.

26
8
7

Explanation:

Question 17

Step1: Calculate the multiplications

First, calculate \((-5)(+6)\), \((-4)(+3)\) and \(-(-2)\) separately.
\((-5)(+6)= -30\), \((-4)(+3)= -12\), \(-(-2)=2\)

Step2: Substitute and simplify

Substitute these values into the original expression: \(-30 - (-12) + 2\)
Simplify \(-30 - (-12)\) first, which is \(-30 + 12 = -18\)
Then, \(-18 + 2 = -16\)

Step1: Find the perimeter of the parallelogram

The formula for the perimeter of a parallelogram is \(P = 2(a + b)\), where \(a\) and \(b\) are the lengths of adjacent sides.
Here, \(a = 26\) yards and \(b = 8\) yards.
So, \(P = 2(26 + 8)\)
\(= 2\times34\)
\(= 68\) yards

Step2: Find the area of the parallelogram

The formula for the area of a parallelogram is \(A = base\times height\).
The base is \(26\) yards and the height is \(7\) yards.
So, \(A = 26\times7 = 182\) square yards

Answer:

\(-16\)

Question 19