Question

1. how many feet of chrome edging are needed to finish a rectangular kitchen table? solve for: perimeter area volume surface area
2. a public school wants to install rubber padding over a rectangular playground space that measures 22 feet by 15 feet. the padding comes in square tiles that measure 1 foot by 1 foot. how many tiles are needed? solve for: perimeter area volume surface area
3. to prevent leakage, an oil storage tank is coated with sealant. how many square meters will need to be coated to cover the container? solve for: perimeter area volume surface area
4. marisol wants to put a thin border on a quilt she made. the drawing shows the dimensions of the quilt. how many inches long is the border? solve for: perimeter area volume surface area
5. how many cubic feet of water will the circular wading pool hold? solve for: perimeter area volume surface area

Explanation:

1. For the problem about the rectangular kitchen - table (finding how many feet of chrome edging are needed):

Step1: Identify the formula

The length of the edging around a rectangle is its perimeter. The formula for the perimeter of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width.

Step2: Substitute the values

If the length $l = 4$ ft and the width $w = 2$ ft, then $P=2(4 + 2)$.

Step3: Calculate

$P = 2\times6=12$ ft.

Step1: Identify the concept

We need to find the area of the rectangular playground to know how many 1 - foot by 1 - foot tiles are needed. The area formula for a rectangle is $A=l\times w$.

Step2: Substitute the values

Given $l = 22$ feet and $w = 15$ feet, then $A = 22\times15$.

Step3: Calculate

$A=330$ square feet. Since each tile has an area of 1 square foot, 330 tiles are needed.

Step1: Identify the shape and formula

The oil - storage tank is a cylinder. We need to find the surface area of the top, bottom, and the lateral surface. The surface area formula for a cylinder is $SA = 2\pi r^{2}+2\pi rh$, where $r$ is the radius and $h$ is the height. Given $r = 10$ m and $h = 25$ m.

Step2: Calculate the two parts

The area of the two circular bases is $2\pi r^{2}=2\pi(10)^{2}=200\pi$ square meters. The lateral surface area is $2\pi rh=2\pi\times10\times25 = 500\pi$ square meters.

Step3: Find the total surface area

$SA=200\pi + 500\pi=700\pi\approx700\times3.14 = 2198$ square meters.

Answer:

12 feet

2. For the problem about the rectangular playground (finding the number of 1 - foot by 1 - foot square tiles):