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Area from Rectangles to Triangles: Practice

12 multiple-choice questions, progressively harder.

Level 2 · Intermediate 0 / 12 answered

Question 1 of 12

1

A triangle has area $99\text{ cm}^2$ and base 18 cm. What is its corresponding height?

Answer choices for question 1 A $5.5$ cm B $9$ cm C $11$ cm D $22$ cm
2

A triangle has area $52.5\text{ m}^2$ and perpendicular height 7 m. What is its matching base?

Answer choices for question 2 A $15$ m B $7.5$ m C $3.75$ m D $105$ m
3

A parallelogram has area $117\text{ cm}^2$ and chosen base 13 cm. Find the matching height.

Answer choices for question 3 A $4.5$ cm B $18$ cm C $104$ cm D $9$ cm
4

A triangle has base $\tfrac72$ cm and perpendicular height $\tfrac83$ cm. What is its area?

Answer choices for question 4 A $\tfrac{28}{3}\text{ cm}^2$ B $\tfrac{14}{3}\text{ cm}^2$ C $\tfrac{7}{3}\text{ cm}^2$ D $\tfrac{37}{6}\text{ cm}^2$
5

A right triangle has a 6 cm leg and a 10 cm hypotenuse. What is its area?

Answer choices for question 5 A $24\text{ cm}^2$ B $30\text{ cm}^2$ C $48\text{ cm}^2$ D $60\text{ cm}^2$
6

An isosceles triangle has equal sides of 17 cm and base 16 cm. Its height to that base is 15 cm. Which pair gives its area and perimeter?

Answer choices for question 6 A
Area $240\text{ cm}^2$

Perimeter $50\text{ cm}$
B
Area $136\text{ cm}^2$

Perimeter $48\text{ cm}$
C
Area $120\text{ cm}^2$

Perimeter $46\text{ cm}$
D
Area $120\text{ cm}^2$

Perimeter $50\text{ cm}$
7

A triangle has a side of length 12 cm with corresponding height 12 cm. Another side has length 18 cm. What height matches the 18 cm side?

Answer choices for question 7 A $4$ cm B $8$ cm C $12$ cm D $16$ cm
8

A rectangle is $\tfrac72$ units by $\tfrac53$ units. Use squares of side $\tfrac16$ unit. How many tiles fill it, and what is the total area?

Answer choices for question 8 A
$35$ tiles

$\tfrac{35}{36}$ square unit
B
$21$ tiles

$\tfrac7{12}$ square unit
C
$210$ tiles

$\tfrac{35}{6}$ square units
D
$210$ tiles

$35$ square units
9

Two congruent copies of a triangle form a parallelogram without gaps or interior overlaps. The parallelogram has base 17 cm and height 6 cm. What is the area of one triangle?

Answer choices for question 9 A $102\text{ cm}^2$ B $23\text{ cm}^2$ C $204\text{ cm}^2$ D $51\text{ cm}^2$
10

For a chosen triangle base AB, what additional measurement determines the area?

Answer choices for question 10 A The distance from A to the midpoint of BC B The perpendicular distance from C to line AB C The length of AC without an angle or height D The length of the extension of AB beyond B
11

Only two side lengths of a triangle, 13 cm and 14 cm, are given. What is needed to calculate its area by the base-height formula using the 14 cm side?

Answer choices for question 11 A No more information, because the height is 13 cm B Only the perimeter unit C The perpendicular height to the 14 cm side D The statement that every triangle has three sides
12

A triangle has base $\sqrt6$ cm and matching height $\sqrt{24}$ cm. What is its exact area?

Answer choices for question 12 A $6\text{ cm}^2$ B $12\text{ cm}^2$ C $3\text{ cm}^2$ D $\sqrt{30}\text{ cm}^2$

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