Answer:
158
Step-by-step explanation:
Simplify the following:
2×5×3 + 2×5×8 + 2×3×8
5×3 = 15:
2×15 + 2×5×8 + 2×3×8
5×8 = 40:
2×15 + 2×40 + 2×3×8
3×8 = 24:
2×15 + 2×40 + 2×24
2×15 = 30:
30 + 2×40 + 2×24
2×40 = 80:
30 + 80 + 2×24
2×24 = 48:
30 + 80 + 48
| 8 | 0
| 4 | 8
+ | 3 | 0
1 | 5 | 8:
Answer: 158
Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
My reasonable estimate might be about 2 1/2 feet. I know that because taking three rulers up to your bedroom or a normal room and get about 2 or 2 1/2 feet
Answer:
5 units
Step-by-step explanation;
We can use the formula for finding the length or magnitude of line joining two points.
Length = √((x2-x1)² + (y2-y1)²)
The points joining the line are C (-1,4) and D (2,0)
Length = √((2+1)² + (0-4)²)
= √((3²) + (-4)²)
= √ (9+16)
= √25
= 5 units
