Step-4

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

Dylan’s father has a square garden with a perimeter of 64 meters. What is the length of each side? Half of the garden is used for growing vegetables. What is the area used for vegetables?

2

Step

Given that the perimeter is (P)

64 mtrs

3

Formula

The formula for the perimeter of a square

P = \$4 \times "Side Length"\$

4

Step

Now plug the values into the formula:

64 = 4s

5

Step

Divide 4 on both sides

\$64/4\$ = \$(4s)/4\$

s = 16

6

Step

So, the side length of Father’s square garden is 16 meters.

7

Step

To find the area of the garden used for growing vegetables, you need to calculate the area of the entire square garden and then find half of it.

8

Formula

The area of a square is given by the formula:

\$"Area" ="Side Length" \times "Side Length"\$

9

Step

Now plug the values into the formula:

A = \$16 \times 16\$

A = 256 sq.mtrs

10

Step

Now, to find the area used for growing vegetables, you can take half of the total area:

Area for vegetables = \$(1/2) \times 256\$square meters

Area for vegetables = 128 sq.mtrs

11

Step

So, the area used for growing vegetables is 128 sq.mtrs.

12

SumUp

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

13

Choice.A

This is correct because it correctly calculates the area used for vegetables, which is half of the square garden

L = 16 m, A = 128 sq.m

14

Choice.B

Incorrect.This doesn’t match the calculated area of the vegetable garden, which is 128 sq. meters

L = 18 m, A = 132 sq.m

15

Choice.C

This is not the correct area based on the calculation for the vegetable garden

L = 20 m, A = 144 sq.m

16

Choice.D

This is not the correct area based on the calculation for the vegetable garden

L = 24 m, A = 182 sq.m

17

Answer

Option

A

18

SumUp

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


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