# Math

posted by .

A rectangular plot of land is 4 meters longer than it is wide. It's surrounded by a multicolored walk 1 m wide. The area of the walk is 32 m. What are the dimensions of the pool?

• Math -

area of plot = x(x+4)
area of pool = (x-2)(x+2)

so x(x+4) - (x-2)(x+2) = 32

solve for x, sub into x-2 and x+2

(I got x=7)

• Math -

Where did you get the x-2?

• Math -

If the plot is 7 m wide and there is a walkway of 1 m on either side of the pool, isn't the pool 5 m wide?
so 7-2
or x-2

that is also how I got x+2 for the length of the pool, it was x+4, now take away 1 m from each side.....

• Math -

Thanks!

## Similar Questions

1. ### pre calc. help!!!!!!

i am building a rectangular swimming pool. the pool is to have a surface area of 1000 ft.^2. it also has a uniform walk way of 3 ft. surrinding it. X is the lengh of one side of the pool, and Y is te lengh of the other side. A.) express …
2. ### Math

A rectangular swimming pool is 7 meters longer then it is wide. It is surrounded by a concrete walkway 1.5 meters wide. The area of the walkway is 120 meters squared. What are the dimensions of the pool?
3. ### Geometry word problem

A rectangular pond is 10m longer than it is wide. A walk 2m wide surrounds the pond. Find the dimensions of the pond if the area of the walk is 216m2
4. ### Math

A man built a walk of uniform width around a rectangular pool. If the area of the walk is 429 square feet and the dimensions of the pool are 10 feet by 18 feet, how wide is the walk?
5. ### Algaebra

A rectangular swimming pool is 5 feet longer than it is wide. If a concrete walk 2 feet wide is placed around the pool, the area covered by the pool and the walk is 156 square feet greater than the area covered by the pool alone. What …
6. ### Math

A rectangular yard measuring 30ft by 35ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the way along the fence. Find the area of this walk
7. ### math

A rectangle is 12 cm longer than it is wide. a wooden walk 2 ft wide is placed around the pond. the area covered by the pond and walk is 160 ft^2 greater than the area covered by the pond alone. What are the dimensions of the pond
8. ### Algebra

I just need help setting up the equation - the rest I can do on my own: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 253 square feet and the dimensions of the pool are 9 feet by 3 feet, …
9. ### Math

A rectangular swimming pool is 6 meters longer than the width of the pool. A pool deck (sidewalk) that surrounds the pool is 4 meters wide (all the way around the pool). The combined area of the pool deck and pool together (outer rectangle) …
10. ### Eng, Bengali, maths, science, social science

A rectangular swimming pool measures 15 meters by 10 meters. How wide must a concrete walk around the pool be if the walk is to cover an area of 116 square meters

More Similar Questions