Area of the figure is 42 in²
Step-by-step explanation:
- Step 1: The area of the figure can be found by calculating the sum of the areas of the rectangle and the right angled triangle.
⇒ Area of the rectangle = length × width = 6 × 5 = 30 in²
⇒ Area of the triangle = 1/2 × base × height = 1/2 × 4 × 6 = 12 in²
∴ Area of the figure = 30 + 12 = 42 in²
Answer:
B
Step-by-step explanation:
60 to 75.
Percentage Increase: (75 - 60) / 60 * 100%
= 15/60 * 100%
= 1/4 * 100%
= 0.25 * 100%
= 25%
Option B.
Given that the triangle CDE is similar to triangle CML, it means that the ratio of their corresponding sides are equal. It means that
CD/CM = DE/ML = CE/CL
CD = 20 + 12x + 2 = 12x + 22
CE = 30 + 12 = 42
20/12x + 22 = 12/42
By cross multipying, it becomes
12(12x + 22) = 20 * 42
144x + 264 = 840
144x = 840 - 264 = 576
x = 576/144
x = 4
Answer:
Step-by-step explanation:
first step: 0.5 * x
second step: 3* (0.5x) = 1.5x
third step: (1.5x)^2
fourth step: (1.5x)^2 + 1 = 50
(1.5x)^2 + 1 = 50 Subtract 1 from both sides
(1.5x)^2 = 49 Take the square root of both sides
1.5x = sqrt(49)
1.5x = +/- 7
1.5x = +7
x = 7/1.5
x = 4.67
1.5x = - 7
x = - 7 / 1.5
x = - 4.67
