Step-1

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

An American flag has a perimeter of 16 feet. One side of the flag is 6 feet long. What is the area of the flag?

2

Step

The perimeter of flag is

16 ft

3

Formula

The perimeter of a rectangle is

P = 2(l + w)

4

Step

One side (L) is given

16 ft

5

Step

Now plug the values into the formula

16 = 2(6 + w)

6

Step

After simplification

16 = 12 + 2w

7

Step

Subtract 12 on both sides:

16 - 12 = 12 - 12 + 2w

2w = 4

8

Step

Divide 2 on both sides

\$(2w)/2\$ = \$4/2\$

w = 2

9

Step

So, the dimensions of the American flag are 6 feet in length and 2 feet in width.

10

Formula

To find the area of the flag, use the formula for the area of a rectangle:

\$"Area" ="Length (L)" times "Width (W)"\$

11

Step

Now plug the values into the formula:

A = \$6 \times 2\$ = 12 sq.ft

12

Step

So, the area of the American flag is 12 sq.ft.

13

SumUp

Can you summarize what you’ve understood in the above steps?

14

Choice.A

This is an incorrect option as it doesn’t represent the area, and the area is not equal to the perimeter

16 sq.ft

15

Choice.B

This is not the correct answer based on the calculations

18 sq.ft

16

Choice.C

This is not the correct answer based on the calculations

15 sq.ft

17

Choice.D

This is the correct answer based on the calculations

12 sq.ft

18

Answer

Option

D

19

SumUp

Can you summarize what you’ve understood in the above steps?


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