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?


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