Question

2021-08-04

Let x be the width of the rectangular swimming pool so that its width is 3x, both feet.

Since the perimeter is 320 ft, we can write:

\(\displaystyle{P}={2}{l}+{2}{w}\)

\(\displaystyle{320}={2}{\left({3}{x}\right)}+{2}{\left({x}\right)}\)

Solve for x. Divide both sides by 2:

\(\displaystyle{160}={3}{x}+{x}\)

\(\displaystyle{160}={4}{x}\)

\(\displaystyle{40}={x}\)

So, the dimensions of the rectangular swimming pool are:

120 feet by 40 feet

asked 2021-02-04

asked 2021-05-13

A rectangular barge, 5 m long and 2 m wide, floats in freshwater.

a. Find how much deeper it floatswhen its load is a 400 kg horse.

b. If the barge can only be pushed15 cm deeper into the water before water overflows tosink it, how many 400 kg horses can it carry?

a. Find how much deeper it floatswhen its load is a 400 kg horse.

b. If the barge can only be pushed15 cm deeper into the water before water overflows tosink it, how many 400 kg horses can it carry?

asked 2021-08-20

The dimensions of a rectangle whose perimeter is 22 feet and area is 24 square feet.

asked 2021-05-22

Sheila is in Ms. Cai's class . She noticed that the graph of the perimeter for the "dented square" in problem 3-61 was a line . "I wonder what the graph of its area looks like ," she said to her teammates .

a. Write an equation for the area of the "dented square" if xx represents the length of the large square and yy represents the area of the square.

b. On graph paper , graph the rule you found for the area in part (a). Why does a 1stâˆ’quadrant graph make sense for this situation? Are there other values of xx that cannot work in this situation? Be sure to include an indication of this on your graph, as necessary.

c. Explain to Sheila what the graph of the area looks like.

d. Use the graph to approximate xx when the area of the shape is 20 square units.

a. Write an equation for the area of the "dented square" if xx represents the length of the large square and yy represents the area of the square.

b. On graph paper , graph the rule you found for the area in part (a). Why does a 1stâˆ’quadrant graph make sense for this situation? Are there other values of xx that cannot work in this situation? Be sure to include an indication of this on your graph, as necessary.

c. Explain to Sheila what the graph of the area looks like.

d. Use the graph to approximate xx when the area of the shape is 20 square units.