# Fractions + square (second power, quadratic) - practice problems - page 3 of 15

#### Number of problems found: 281

- Hamster cage

Ryan keeps his hamster cage on his dresser. The area of the top of Ryan's dresser is 1 2/3 as large as the area of the bottom of his hamster cage. The area of the dresser top is 960 square inches. How many square inches of his dresser top are not covered - Garden

The garden has a rectangular shape with lengths of 25 and 40 meters. It has been expanded so that each of its sizes increased by one-fifth. How many square meters increased its acreage? - Individual 17891

The size of the five gardens is 13:10:9:8:7. Calculate the areas of individual gardens if you know that the middle area is 720 m². - Connecting 83441

They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the content of the square ABCD is the content of the square created in its center by connecting the points AF, BG, CH, and DE?

- Smaller 81015

Divide the area S=153 m² of the square garden in a ratio of 2:7. What part of the garden does the smaller part occupy? - Alexandra

Alexandra made a rectangular quilt that measured 3 1/4. 2 3/4 feet in width. What is the area of the quilt in square feet? Write an equation to solve. - The length 10

The length of a rectangle is increased to 2 times its original size, and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle? - The rug

Josie has a rug with an area of 18 square feet. She will put the rug on the floor covered in 1/3 square foot tiles. How many tiles will the rug cover? - National park

In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded?

- Original 45871

Resize the square to 7:3. The original size is 39cm. What is the size of the square after the change? - Original 80393

Resize the square to 10:3. The original size is 3 cm. - Calculate 3806

Calculate the perimeter of a square if its length equals 2/3 of the number 75. - Square area

Find the area of a square with a side length of 4/5 yards. - Rectangular 64554

We must draw a square grid on a rectangular plate measuring 154 cm and 210 cm. What should be the side length of the largest possible box? How many fields will be on the board?

- The ratio 7

The ratio of the sides of two squares is 4:5 if the sum of their areas is 180 cm². Find the sides of the two squares. - Silver medal

A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the golden cross? - Circular arc

Calculate the center angle and length of the circular arc if the radius r = 21 cm and the area of the slice is 328.5 cm² - Unpainted 14513

The abcd square is composed of 36 small squares. Six of them are painted. How many small squares do we still need to color so that a quarter of the area of the abcd square remains unpainted? - Six-fourteenths 7295

Seven twelfth windows in the castle are in the shape of an n-gon. Six-fourteenths of these windows are quadrangular in shape, while two-ninths of them are square windows. How many windows are there in the castle if there are 15 square windows?

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