Question

Cecile drew a 4-sided figure. It had 2 sides that were 3.4 centimeters long and 2 sides that were 3.3 centimeters long. It had at least 3 right angles. Which best describes the figure she drew?

square
rectangle that is not a square
quadrilateral that is not a parallelogram
trapezoid

Answer 1

answer would be the second one: Rectangle that is not a square

Answer 2

B.Rectangle that is not a square.

Explanation:

We are given that Cecile drew a 4-sides figure. it means a quadrilateral.It had 2 sides that were 3.4cm long and 2 sides that were 3.3 centimeters long.

We are given that a quadrilateral had atleast 3 right angles.

If a quadrilateral had 3 right angles then the IV angle of quadrialteral is also right angle.

In quadrlateral ABCD

`\angle A=90^(\circ)`

`\angle B=90^(\circ)`

`\angle C=90^(\circ)`

`\angle A+\angle B+\angle C+\angle D==360^(\circ)`

By angle sum property of quadrilateral

`90+90+90+\angle D=360`

`270+\angle D=360`

`\angle D=360-270=90^(\circ)`

Hence, IV angle of quadrilateral is also right angle.

Given two sides of quadrilateral are equal and other two sides of quadrilateral are equal.Therefore, the given quadrilateral can be rectangle not square because in square four sides are of equal lengths.

Hence, the given quadrilateral can be rectangle but not square.Therefore, option B is correct.