First of all, let's remember the formula for calculating area. <em><u>Length times width equals area.</u></em> (lxw=a)
Now that we have the formula. Let's take the length (8 cm) and the width (6 cm) and add 1 cm to each of them.
Length: 8+1=9.
Width: 6+1=7.
Now, let's apply the formula for area.
9 x 7 = 63
Now that we've found the area is 63 cm, let's find the perimeter. To find the perimeter of a rectangle, we must multiply the length by 2 and the width by 2, then we add the two numbers. In this case, here's what we'll do:
9 x 2 = 18
7 x 2 = 14
18 + 14 = 32
Now we have the area and perimeter.
Final answer(s):
Area = 63 cm.
Perimeter = 32 cm.
Hope this explanation helped you out. :)
Answer:
x=40°
Step-by-step explanation:
Firstly, lets look at some things that we know based on this image:
We have a equilateral triangle(The triangle on the left has 3 tick marked on the sides, so they are equal. It also has 3 of the same angle, so it must be equilateral) and a isosceles triangle (There are two tick marks showing that two of the sides are equal length), the measure of each of the equilateral triangle's angles must be 60° each, the measure of these two triangles together must be 360°, and angle x and the unmarked angle must be the same size as this triangle is isosceles.
To solve this, we can set up an equation to solve for x. To do this, we can add up all of the known angles and set it equal to 360.
Answer:
-a^2 + -a + 12
Step-by-step explanation:
Expand the following:
(3 - a) (a + 4)
(3 - a) (a + 4) = (3) (a) + (3) (4) + (-a) (a) + (-a) (4):
-a a + 3 a - 4 a + 3 4
3×4 = 12:
-a a + 3 a - 4 a + 12
-a a = -a^2:
-a^2 + 3 a - 4 a + 12
Grouping like terms, -a^2 + 3 a + 4 (-1) a + 12 = -a^2 + (3 a - 4 a) + 12:
-a^2 + (3 a - 4 a) + 12
3 a - 4 a = -a:
Answer: -a^2 + -a + 12