Rectangle practice problems - page 16 of 48
Number of problems found: 945
- Harvester
The harvester has a cutting width of 4 m, and the harvested grain in the field is 87 meters wide. Harvester moves along the field's length for six minutes; going back (without cutting) takes half the time. Each turn at the end field takes one minute. How
- Reconstruction 23531
The enclosure for lions in the ZOO has a rectangular shape with a length of 5.6m and a width of 6.8m. During the reconstruction, the length of the fence must be adjusted to 5.2 m so that the size (areas) of the paddock stays the same. What will be the wid
- Length-to-width 3175
We want to enclose a rectangular garden whose length-to-width ratio is 2:1 and whose half of the perimeter borders the road. The fencing path along the road costs 7 euros per meter, and the other fencing costs only 3 euros per meter. How many acres does a
- 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.
- Estimate the mode
A medium-sized asset management firm has 56 fund managers. Each of these managers has its own portfolio. The percentage returns from the managers' portfolios are shown in the table below: Return percentage; Number of managers 0-10; 8 10-20; 18 20-30; 21
- Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi
- Maria
Maria has decided to plant grapes in the garden behind her house. His neighbor Ben has grown grapes successfully for a long time and has given Maria advice on how to plant vines. Ben told her to plant them 3 meters apart in rows and 3 meters apart. Maria
- Tiles
The pupils of the building school have to calculate how many roof tiles they will need to cover the roof of the house in the shape of two rectangles measuring 10 x 7.2 m. One roof tile covers a rectangular area of 22 cm x 32 cm. How many tiles will they n
- Around the flowerbed
Roses are to be planted equally spaced around a rectangular flowerbed with dimensions 5.25 m and 3.5 m so that they are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many roses do
- Wheat
The rectangle-shaped field with dimensions 1268 m and 745 m harvested last year was 4959 q wheat. (1 q = 1 quintal = 100 kg). During the year, it was necessary to fix the pipe and therefore did kick wide 4 m parallel to the side of the field 745 m, were n
- Matilda
Matilda measures the perimeter of her bedroom to determine how many feet of the border she needs to go around the tops of the walls. Two walls are each 96 inches long, and two walls are each 3 yards long. She pays $30 for a border that costs $1 per foot.
- Image reduction
To say that I am mathematically challenged is a gross understatement! I'm trying to help my friend determine how to calculate percentages of reduction or enlargement for a quilt pattern. She is creating a drawing of a cute picture that will become a piece
- 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
- Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your
- Determine 36601
The plumbers have to cut sheet metal measuring 220 cm and 308 cm into squares of equal size so that the squares are as large as possible and the sheet metal is used without residue. How many such squares will they cut? Determine the side of this square.
- Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
- Fertilizers 80357
A rectangular bed 3960 cm long and 825 cm wide needs to be divided into several equal square sectors on which scientists will test different fertilizers. Into what is the smallest number of sectors this bed can be divided?
- Circumference 26651
A rectangle with sides of lengths a, b (cm) has a circumference of 100 cm. The dependence of its area P (in cm2) on the number a can be expressed by the quadratic function P = sa + ta². Find the coefficients s, t.
- Rectangular 4402
Our task is to save the rectangular images with dimensions of 105 mm and 42 mm so that we cover the smallest square. What will be its size, and how many pictures do we need?
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