The dimensions of a rectangle are -3x - 2 and 10x - 9 The simplified expression for the rectangle's perimeter is 14x – 22
<u>Solution:</u>
Given that dimensions of a rectangle are -3x – 2 and 10x – 9
Let’s say width of the rectangle = w = -3x – 2
And length of the rectangle = l = 10x – 9
<em><u>The formula for perimeter of rectangle is given as:</u></em>
Perimeter of rectangle = 2 (l + w)
By substituting the length and width values we get,
=> Perimeter of rectangle = 2 [(10x – 9 ) + ( -3x – 2 )]
On simplification we get,
= 2 (10x – 9 – 3x – 2 ) = 2 (7x – 11)
=> Perimeter of rectangle = 14x – 22
Hence simplified expression for the rectangle's perimeter having dimensions as -3x - 2 and 10x – 9 is 14x – 22
(4b^2-8b-3)
1st step: 3b^2– (-b^2) = 4b^2
2nd step: -5b – (3b) = -8b
3rd step: 1 – (-4) = -3
Answer:
No Solution
Step-by-step explanation:
The equations given are:
x-2y=14
14x-2y=14
The only solution to this system is (0, -7) and therefore there is No Solution.
Answer:
51 ft²
Step-by-step explanation:
The shaded area is the area of the triangle subtract the area of the rectangle.
The area (A) of the triangle is calculated as
A = 
bh ( b is the base and h the perpendicular height )
Here b = 11 and h = 10, thus
A = 0.5 × 10 × 11 = 5 × 11 = 55 ft²
Area of rectangle = 1 × 4 = 4 ft², hence
Area of shaded region = 55 - 4 = 51 ft²
