Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Area of 2D-Shapes |
Grade: 6-a Lesson: S4-L1 |
Explanation: Let us verify the answer here with the steps. |
Lesson Steps Head1
Step | Type | Explanation | Answer |
---|---|---|---|
1 |
Problem |
Emily has a right-angled triangle with one side of length 11 inches and the other side of length 18 inches. Calculate the area and perimeter of her triangle. |
|
2 |
Step |
The given values are |
One side length (b) = 11 in Other side length (h) = 18 in |
3 |
Formula |
The area of triangle is |
\$A = 1/2 times "base" times "height"\$ |
4 |
Step |
Now substitute the values in the area formula |
\$A = 1/2 times 11 times 18\$ |
5 |
Step |
After simplification |
\$ A = 198 /2\$ |
6 |
Step |
After simplification |
A = 99 sq.in |
7 |
Formula |
Perimeter of a triangle (the sum of all three sides) |
Perimeter = side 1 + side 2 + hypotenuse |
8 |
Step |
Now substitute the values in the formula |
\$c^2 = 11^2 + 18^2\$ |
9 |
Step |
After simplification |
\$c^2 = 445\$ |
10 |
Formula |
After simplification |
c = 21.09 in [ c = hypotenuse] |
11 |
Step |
Now substitute the values in the perimeter formula |
Perimeter = 11 + 18 + 21.09 |
12 |
Step |
After simplification |
Perimeter = 50.09 in = 50 in |
13 |
Step |
The area and perimeter of her triangle is 99 sq.in and 50 in. |
|
14 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
15 |
Choice.A |
This is incorrect because it gives an incorrect perimeter of 52 inches |
99 sq.in , 52 in |
16 |
Choice.B |
This is correct because it gives an correct area and perimeter |
99 sq.in , 50 in |
17 |
Choice.C |
This is incorrect because it gives an incorrect area of 100 sq.in |
100 sq.in , 50 in |
18 |
Choice.D |
This is incorrect because it gives an incorrect area abd perimeter |
100 sq.in , 52 in |
19 |
Answer |
Option |
B |
20 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 13-February-2024 09:20AM EST