Planimetry - practice problems - page 5 of 187
Number of problems found: 3739
- Length and width
The length of a rectangle is 7 cm more than the width. Find the width and length if the perimeter of the rectangle is 78 cm. - Angles - triangle
Find the measure of the angles of the triangle ABC if: the measure of angle A is the measure of angle C and the measure of angle B =½ of the measure of angle C. - Suppose 10
Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B. - Blue region
Find the area of the blue region shown in the picture. - The supplement
The supplement of an angle is four times its complement. Find the angle. - EQ2 - roots Find the equation whose roots are the two numbers 8 and 10?
- A baseball
A baseball is hit over a fence that is 325 feet away and 110 feet tall. How far did the ball travel in a straight line when it reached the fence? - Two chords 2
The length of one of two chords of a circle is 12 cm. If the chords are 6 cm and 7 cm away from the center of the circle, calculate the length of the second chord. - Grassland and goat
An unfenced piece of grassland is a right triangle ABC with AB = 4 m, BC = 8 m, and AC as the hypotenuse. A goat is tied to a 5-metre rope with its stake at point O, which is 2 m from side AB and 2 m from the extension of side BC beyond corner B. Then: 1. - 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.
- FRAMES
Joe is making picture frames out of wood. The length of each frame is 10 inches, and the width is 8 inches. Each piece of wood used to make the frames is 8 feet long. How many pieces of wood will he need to make 10 picture frames? Clue: find the perimeter - A ladder 3
A 30 foot ladder is set against the side of a house so that it reaches up 24 feet. If Elizabeth grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? Round to the nearest tenth - An isosceles triangle An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 15 in
- 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 rectangular 11 A rectangular plot of land has sides that are 1200 m long and 900 m wide. If a hectare (10000 m²) of the land costs R5200,00, the cost of the entire plot is:
- Mrs. Clarke
Mrs. Clarke is teaching a 5th-grade class. She is standing 40 feet in front of Valeria. Sarah is sitting to Valeria's right. If Sarah and Mrs. Clarke are 50 feet apart, how far apart are Valeria and Sarah? - In football
In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards; how far apart were the ball carrier and defender when they star - Merly
Merly prepared the table for lunch. She put a place mat that measures 5 dm long and 3 dm wide; she placed a plate on it with a diameter of 3 dm. How many mats can be seen on the table? - Mowing lawn
Tara is mowing her lawn. She mows 3/5 of her 925-square-metre lawn before stopping to chat with a neighbour. How many square metres does Tara have left to mow? - Two chords 6 A chord PQ is 10.4 cm long, and its distance from the center of a circle is 3.7 cm. Calculate the length of a second chord RS, which is 4.1 cm from the center of this circle.
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