Examples of area of plane shapes - page 23 of 131
Number of problems found: 2618
- Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - 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. - Enlarged rectangle
The rectangle has dimensions of 8 cm and 12 cm. We enlarge it in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle? - Ratio of sides 2
The ratio of the side lengths of one square to another is 1:2. Find the ratio of the area of the two squares. - Square measurements
Find the area and perimeter of a square whose diagonal is 10 cm. - Football Field Width
The football field has an area of 75.75a. What is the width if its length is 101m? - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Trapezoid MO-5-Z8
Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm². What is the area of the trapezoid KLMN? - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Isosceles triangle
Calculate the area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm. - Trapezoid - central median The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas.
- Square diagonal
Calculate the diagonal of a square if its area is equal to 169 square centimeters. - Circle - easy 2
The circle has a radius of 6 cm. Calculate its diameter, perimeter, and area: - Annulus
Two concentric circles form an annulus with a width of 10 cm. The radius of the smaller circle is 20 cm. Calculate the area of the annulus. - Rape
The agricultural cooperative harvested 525 ares of rape, of which received 5.6 tons of rape seeds. Calculate the yield per hectare of rape. - 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? - Inscribed rectangle
The circle area is 231. Determine the area of the inscribed rectangle with one side 13 long. - Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n. - Carpet
The room has a rectangular shape with dimensions 5 m × 2.1 m. How many meters of carpet does a width of 2 need to buy to cover the entire room? - Triangle
Calculate the area of the right triangle ΔABC if one leg is long 12 and its opposite angle is 47°.
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