Question

A rectangular garden measures 32ft by 44ft. Surrounding (and bordering) the garden is a path 4ft wide. Find the area of this path. Be sure to include the correct unit in your answer.

Answer 1

Ok

Answer 2

We're going to do this step by step

Answer 3

okkk

Answer 4

This is the rectangle without garden

Answer 5

so area of a rectangle = l*b

Answer 6

Therefore, area of rectangle
= 44*32
= 1408 ft

Answer 7

ok but how do i find the 4 ft path

Answer 8

Wait

Answer 9

So the question wants the area of the garden which can be done by subtracting:
area of the rectangle along with the garden- area of just the rectangle

Answer 10

so here's the rectangle with the garden. So whats the measures of the rectangle with the garden?

Answer 11

therefore u see with the garden the measure of the rectangle increases by 4ft on all the four sides

Answer 12

Length of the rectangle along with the garden
= 32+4
= 36 ft

Answer 13

Breadth of the rectangle along with the garden
= 44+4
=48 ft

Answer 14

Area of the rectangle along with the garden
= l*b
=36*48
=1728 ft

Answer 15

Area of the garden
= area of the rectangle along with Gardn- area of rectangle
= 1728-1420
=308 ft

Answer 16

\(\color{#0cbb34}{\text{Originally Posted by}}\) @thoughfulsky
Length of the rectangle along with the garden
= 32+4
= 36 ft
\(\color{#0cbb34}{\text{End of Quote}}\)
\(\color{#0cbb34}{\text{Originally Posted by}}\) @thoughfulsky
Breadth of the rectangle along with the garden
= 44+4
=48 ft
\(\color{#0cbb34}{\text{End of Quote}}\)

Take a look at your drawing once more, it should be +8

Answer 17

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
\(\color{#0cbb34}{\text{Originally Posted by}}\) @thoughfulsky
Length of the rectangle along with the garden
= 32+4
= 36 ft
\(\color{#0cbb34}{\text{End of Quote}}\)
\(\color{#0cbb34}{\text{Originally Posted by}}\) @thoughfulsky
Breadth of the rectangle along with the garden
= 44+4
=48 ft
\(\color{#0cbb34}{\text{End of Quote}}\)

Take a look at your drawing once more, it should be +8
\(\color{#0cbb34}{\text{End of Quote}}\)
What?

Answer 18

The new dimensions of the rectangle when you're adding in the path

Answer 19

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
The new dimensions of the rectangle when you're adding in the path
\(\color{#0cbb34}{\text{End of Quote}}\)
What??

Answer 20

The dimensions you found including the path is incorrect. There is a 4 foot path on both sides so it should be

32 + 4 + 4 = 40

and

44 + 4 + 4 = 52

Answer 21

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
The dimensions you found including the path is incorrect. There is a 4 foot path on both sides so it should be

32 + 4 + 4 = 40

and

44 + 4 + 4 = 52
\(\color{#0cbb34}{\text{End of Quote}}\)
Are u sure 🤨

Answer 22

\(\color{#0cbb34}{\text{Originally Posted by}}\) @thoughfulsky
Are u sure 🤨
\(\color{#0cbb34}{\text{End of Quote}}\)

Just look at your own drawing???

Answer 23

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
\(\color{#0cbb34}{\text{Originally Posted by}}\) @thoughfulsky
Are u sure 🤨
\(\color{#0cbb34}{\text{End of Quote}}\)

Just look at your own drawing???
\(\color{#0cbb34}{\text{End of Quote}}\)
My drawing shows the equal width all around. But for area u only take the length of one side and breadth one side so +4 not +8.

Answer 24

\(\color{#0cbb34}{\text{Originally Posted by}}\) @thoughfulsky
My drawing shows the equal width all around. But for area u only take the length of one side and breadth one side so +4 not +8.
\(\color{#0cbb34}{\text{End of Quote}}\)

It's a 4 foot path on EACH side (just like how you drew it)

and I am well aware how you calculate the area

the new length dimension would be adding 4 feet since there's a 4 foot path on each side

as well as the width would be +4 + 4 since there's an extension by 4 feet on each side

Answer 25

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
\(\color{#0cbb34}{\text{Originally Posted by}}\) @thoughfulsky
My drawing shows the equal width all around. But for area u only take the length of one side and breadth one side so +4 not +8.
\(\color{#0cbb34}{\text{End of Quote}}\)

It's a 4 foot path on EACH side (just like how you drew it)

and I am well aware how you calculate the area

the new length dimension would be adding 4 feet since there's a 4 foot path on each side

as well as the width would be +4 + 4 since there's an extension by 4 feet on each side
\(\color{#0cbb34}{\text{End of Quote}}\)
Bye. I also know how to calculate ig e.e