Fractions + area of a shape - practice problems
Number of problems found: 270
- The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has - Tree planting
The trapezoidal garden has bases 44 m and 16 m long. Their distance is 25 m. How many square meters of its area will remain for tree planting if we use 1/5 of the entire site to construct a cottage, backyard, and road? Is it possible to find the length of - Dimensions 82414
The flag of Brazil has a yellow diamond on a green field with a blue circle inside. If we had a flag with dimensions of 70 cm x 50 cm, the rhombus would have a side 35 cm long and a height of 30 cm. Indicate with fractions in basic form what part of the f - Father's garden
John's father has a garden in the backyard. The dimensions of the garden are shown here. A green rectangle is shown. The width is labeled as two and two-thirds feet. The length is labeled as seven and three-fourths feet. Calculate the area of the garden. - Circular 72244
How many kg of grass seed must be bought to start a lawn in the shape of a circular section with a radius of r= 15 m and a central angle of 45 degrees if 1 g of grass seed is used per 1 dm of the square area? - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - A rectangle 7
A rectangle has been split into 24 parts, set in 4 rows of 6 pieces each. The parts in the top 3 rows have been shaded blue. The parts in the left five columns have been shaded purple. The first five parts in the top 3 rows are striped to show they are sh - Magic belt
The magic rectangular belt has the property that whenever its owner wants something, the length of the belt is reduced to 1/2 and the width to 1/3. After three such wishes, the belt had an area of 4 cm². What was its original length if the original width - Dimensions 82501
The table has the shape of a rectangle with dimensions of 80 × 100 cm. Ten identical sheets of paper measuring 20 x 30 cm lie next to each other on it. Papers do not overlap or extend beyond the surface of the table. What part of the table surface is cove - Kilograms 48761
Matthew paints his room. He paints square walls. He painted a wall with a side of 3 m and consumed 5 kg of paint. How many kilograms of paint will he need on a wall with a side length of 6 m? - Bathroom 3
De Mesa family will soon be occupying their newly renovated house. However, the bathroom, measuring 10ft by 16ft, is still covered with tiles. If the tiles they desire measure 2/5 ft by 2/5ft, how many tiles will they need to cover the bathroom floor? - Undeveloped 71924
The Doležals will build a house. Their plot is a trapezoid with bases 42m and 18m long, and the distance between the bases is 23m. According to the project, the house will have a built-up area of 146 m². How many square meters of land will remain undeve - Living room
Marina's new living room is a rectangle with a length of 8 meters and a width of 5 meters. She wants to buy a carpet to cover half of the living room, and each square meter of the carpet costs $4. How much will the total cost for Marina be? - Clarissa 2
Clarissa is cutting construction paper into rectangles for a project. She needs to cut one 12 inches x 15 1/3 inches rectangle. She needs to cut another rectangle 10 1/4 inches by 10 1/3 inches. How many Total square inches of construction paper does Clar - Three rectangles
Some wire is used to make three rectangles: A, B, and C. Rectangle B's dimensions are 3/5 cm larger than Rectangle A's dimensions, and Rectangle C's dimensions are again 3/5 cm larger than Rectangle B's dimensions. Rectangle A is 2 cm by 3 1/5 cm. What is - Automatic 45711
What grass area can the automatic sprayer spray if it is set to spray at an angle of 120 ° and the water sprays up to a maximum distance of 5 meters? - Measuring 39011
Miška wants to buy wrapping paper for a gift for her mother. How many euros will he pay if he wants to buy paper measuring 9 quarters of a meter and 8-fifths of a meter, and one square meter of wrapping paper costs 40 cents? - Living room 3
Pearl wants to buy a carpet to cover her whole living room, except for the tiled floor. The tiled floor is 7 1/2 ft by 3 1/4 ft. The room has dimensions of 12 1/4 ft x 5 ft. Find the area the carpet needs to cover. - The garden
The garden has the shape of an isosceles trapezoid whose bases are 64 m and 24 m long. The height is 25 m. In what garden area is it possible to grow vegetables if a fifth of the area is occupied by a cottage, lawn, and path? - Mason 3
Mason has a rectangular garden 2/3 yards wide by 7/4 yards long. What is the area of Mason's garden? Use a drawing to show your work.
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