Planimetrics - math word problems - page 57 of 183
Number of problems found: 3652
- Diagonals of a rhombus
One of the diagonals of a rhombus is twice the other. If the sum of the lengths of the diagonals is 24, find the area of the rhombus. - Grandmother and grandfather
Grandmother baked cakes. Grandfather ate half, then a quarter of the rest ate Peter, and Paul ate half of the rest. There were six cakes left for parents. How many cakes were made by the grandmother? - Circumference 63814
The KLMN diamond has a circumference of 32 cm, and the intersection of its diagonals is 3 cm away from the LM side. What is the area of the diamond? - Triangle 63244
The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²? - One-quarter 13953
Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma. - Calculate 10691
Calculate the length of the side of a square whose diagonal has a length of 10 m. - Perimeter 7778
The triangle has 7 cm, 8 cm, and 5 cm long sides. How long is the side of a square with the same perimeter as a triangle?
- Circumference 7669
The rectangular field is 2a meters long and a-2 meters wide. Calculate the field circumference. - Calculate 7221
Calculate exactly when the hour and minute hands on the clock intersect. - Circle r,D
Calculate the diameter and radius of the circle if it has a length 26.59 cm. - Garden
The garden has a rectangular shape, a circumference of 130 m, and an area of 800.25 m². Calculate the dimensions of the garden. - Isosceles
Isosceles trapezoid ABCD has a perimeter of 39 cm. The base AB is 7 cm longer than the base CD and the arm is 2 cm shorter than the base CD. Calculate the length of the base CD. - Increased sides
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side a decreases by 1 cm at the same time, the area of the rectangle increas - The triangle
The triangle has sides 5 cm long, 5 cm, and 8 cm long. What is the area of the triangle? - The perimeter
The triangle has one side 5 cm long and another 11 cm long. What can be the smallest, and what is the largest perimeter?
- Right isosceles triangle
What can be the area of a right isosceles triangle with a side length of 8 cm? - Width and length
A rectangle's length is three times more than twice its width. Suppose the perimeter of the rectangle is 60 feet. What is the length of the rectangle? - A rectangular patio
A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio. - Complementary angles 2
Two complementary angles are (x+4) and (2x - 7). Find the value of x. - Rhombus sides
If you decrease the side of the rhombus by 30 mm, its circumference will be 70.8 mm. How long was the side of the original rhombus?
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