Area from Rectangles to Triangles: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

Which measurement and unit describe the amount of a flat triangular region covered?

Answer choices for question 1 A Perimeter in square meters B Area in square meters C Area in meters D Perimeter in meters
2

Which statement is the unit-square area postulate?

Answer choices for question 2 A Every square has area one square unit B A unit square has perimeter one unit C Every rectangle has area equal to its perimeter D A square with side one unit has area one square unit
3

A rectangle has side lengths 9 cm and 7 cm. What is its area?

Answer choices for question 3 A $63\text{ cm}^2$ B $32\text{ cm}^2$ C $16\text{ cm}^2$ D $63\text{ cm}$
4

A rectangle has sides $\tfrac32$ units and $\tfrac52$ units. What is its area?

Answer choices for question 4 A $4$ square units B $\tfrac{15}{2}$ square units C $\tfrac{15}{4}$ square units D $8$ square units
5

A parallelogram has base 11 cm, perpendicular height 4 cm, and adjacent side 5 cm. What is its area?

Answer choices for question 5 A $55\text{ cm}^2$ B $22\text{ cm}^2$ C $44\text{ cm}^2$ D $32\text{ cm}^2$
6

A triangle has a base of 12 m and a matching height of 7 m. What is its area?

Answer choices for question 6 A $42\text{ m}^2$ B $84\text{ m}^2$ C $19\text{ m}^2$ D $38\text{ m}^2$
7

In triangle PQR, point F lies strictly between P and Q, and RF is perpendicular to PQ. Which height matches base PQ?

Answer choices for question 7 A $PQ$ B $PR$ C $QF$ D $RF$
8

An obtuse triangle has base 14 cm. The perpendicular from the opposite vertex to its base line is 3 cm and lies outside the triangle. What is its area?

Answer choices for question 8 A $42\text{ cm}^2$ B $21\text{ cm}^2$ C $17\text{ cm}^2$ D The area cannot be found with an exterior height
9

A triangle has side lengths 8 cm, 10 cm, and 12 cm. What is its perimeter?

Answer choices for question 9 A $30\text{ cm}$ B $30\text{ cm}^2$ C $48\text{ cm}$ D $60\text{ cm}^2$
10

A right triangle has perpendicular legs 5 cm and 12 cm, and hypotenuse 13 cm. What is its area?

Answer choices for question 10 A $60\text{ cm}^2$ B $32.5\text{ cm}^2$ C $30\text{ cm}^2$ D $78\text{ cm}^2$
11

A polygon is cut into finitely many pieces. Every piece is moved rigidly, then the pieces fill a new polygon without gaps or interior overlaps. Why do the total areas agree?

Answer choices for question 11 A The two polygons must have the same perimeter B Each piece keeps its area, and the same piece areas add in both arrangements C Every cut edge becomes an outer edge D Any two polygons with the same number of pieces are congruent
12

What area do we assign to a rectangle with side lengths 3 units and $\sqrt7$ units?

Answer choices for question 12 A $3+\sqrt7$ square units B $6+2\sqrt7$ square units C $21$ square units D $3\sqrt7$ square units