Planimetrics - practice problems - page 6 of 169
Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.Number of problems found: 3379
- A blanket
A blanket is 60 inches by 72 inches. If you want to make it 1/3 smaller, what size would it be? - The angles 4
The angles of a triangle are divided into the ratio 126: 213: 312. If the three angles sum to 180°, find the size of each of the three angles. - The ratio 10
The ratio of length and breadth of a rectangular park is 3:2, and its perimeter is 150m. Find its area. - Colour
The square is divided into 100 squares. If you needed to color 49%, how many squares would you color? - Consecutive Interior Angles
PQRS is a trapezium in which PQ is parallel to SR and ∠P = 130 ̊, ∠Q = 110 ̊. Find the remaining angles. - Share 5
Share 30 oranges between Shola and Ade in the ratio 2:3. Find Shola's share and Ade's share. - Ice cream company
An ice cream company is going to open new stores in Los Angeles, New York, and Orlando. The monthly cost for a square foot of rental space in each city is as follows. town; cost/ft² Los Angeles ; $5.25 New York ; $7.25 Orlando ; $4.25 The store in Los Ang - A triangle 10
A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)? - Three 237
Three vertices of a rectangle have the coordinates (5, 3), (5, -1), (-1, -1). What are the coordinates of the fourth vertex of the rectangle? - General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse. - Apothem
Find the ratio between the two perimeters, the two areas, and two corresponding apothems of two regular hexagons whose sides are 2-3/4 inches and 4-1/8 inches. - The number 10
The number of sides of two regular polygons differ by 1 the sum of the interior angles of the polygons is in the ratio of 3:2 calculate the number of sides of each polygon. - Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - Joey had
Joey had 70% of his money in a savings account. The rest of his money was in a cheque account. (a). What percentage of his money was in his cheque account? (b). He had $240 in his cheque account. How much money did he have in his savings account? - The radius 2
The radius of a circle is increased by 5%. What is the percentage increase in their circumference area? - Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR? - The coordinates 3
The coordinates of two vertices of an equilateral triangle are (1,1) and (5,1). What are the coordinates of the third vertex? - Line segment
Find the length of the line joining points A(-4,8) and B(-1,4). - 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 )
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