Planimetrics + addition - practice problems
Number of problems found: 81
- 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. - Trim the bushes
Mason is always helping him to trim the bushes. The area A had a length of 14 m and a breadth of 7 m, and if we are going to combine A and B, the equal is 215 m². The question is: what is the area of B? - A fence
A fence is to be put around a paddy field. The four sides of the field are 135.37 meters,96.5 meters, 137.46 meters, and 148 meters. Find the total length of fencing. - A farmer 9
A farmer has 3 hectares of an orchard. ½ of the land is occupied by apples, ⅙ of the remainder is occupied by lemon trees, and tree tomatoes occupy the rest of it. Find the fraction of the land occupied by tree tomatoes.
- Sonya
Sonya, Jill, and Donna run each Monday. Jill ran 6/12 of an hour, and Donna ran 5/12 of an hour. If the girls ran a total of one whole hour, what fraction of an hour did Sonya run? - Angles sum 180
In triangle ABC, the measure of ∠A is 30°, and the measure of ∠C is 90°. What is the measure of ∠B? - Two sides 2
Two sides of a triangle are 12 and 15, and the perimeter is 40. Find the other side. - Coordinates - rectangle
Find the perimeter of the rectangle with vertices A(1,4), B (1,0 ), C (4,0), D (4,4 ) - EE school boarding
Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C.
- Conjugate coordinates
If the rectangular conjugate of the polar vector 12 angle 35 degrees is equal to x+yi, find the sum of x and y. - One-tenth 24421
Zdenka wants to tile her new bathroom. The bathroom has a square shape with a side length of 2.5 m. How many euros will he pay for new paving if 1 m² of paving costs 12 euros? But do you have to account for one-tenth of the tiling waste that needs to be b - 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - Triangles
Find out whether the given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3' - Afternoon 5922
Tractors plowed a field of 15 3/4 ha. Its plowed 3 1/3 ha in the morning, 2 5/6 ha in the afternoon, and 4 1/4 ha at night. How many hectares were left to plow the next day?
- 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 - Rectangular garden
The rectangular garden has a length of 48.7 m and a width of 6.3 meters shorter than the length. How much mesh should be bought for its fencing if the gate is 2.9 m long and the gate 1.1 m? What is the area of the garden? - 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 - A triangle 5
A triangle has sides 15/23 feet, 28/34 feet, and 35/29 feet. What is the triangle's perimeter (the distance around the edges) in feet? Express your answer in mixed number form, and reduce if possible. - Circumference 5331
The largest linden in Bohemia is the Vejdová lime tree in the Orlické Mountains, with a circumference of 14 meters and 140 centimeters. What trunk circumference does this linden tree have in decimetres?
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