Question

2 rectangles, 2 triangles, and 3 circles are drawn on the wall. How many straight sides and vertices are drawn in all?

• A. 14 sides and vertices
• B. 15 sides and vertices
• C. 15 sides and 14 vertices
• D. 14 sides and 15 vertices

Answer 1

The correct option is A 14 sides and vertices

$\text{Say:}$Let’s read the question.

$\text{Ask:}$
$\bullet$ What do we have to do here?
Ans: We have to find the total number of sides and vertices that are drawn on the wall.

$\text{Say:}$Let us begin by identifying the attributes and number of each shape used.

$\text{Ask:}$
$\bullet$ What is the first shape that is drawn on the wall?
Ans: Rectangle

$\bullet$ How many sides and vertices does a rectangle have?
Ans: 4 sides and 4 vertices

$\bullet$ What is the second shape that is drawn on the wall?
Ans: Triangle

$\bullet$ How many sides and vertices does a rectangle have?
Ans: 3 sides and 3 vertices

$\bullet$ What is the third shape that is drawn on the wall?
Ans: Circle

$\bullet$ How many sides and vertices does a circle have?
Ans: 0 sides and 0 vertices

$\text{Say:}$Now let us find the total number of sides and vertices drawn.

$\text{Ask:}$
$\bullet$ How many rectangles are drawn?
Ans: 2

$\bullet$ A rectangle has 4 sides and vertices, so how many sides and vertices will two rectangles have?
Ans: 4 + 4 = 8. So, two rectangles will have 8 sides and vertices.

$\bullet$ How many triangles are drawn?
Ans: 2

$\bullet$ A triangle has 3 sides and vertices, so how many sides and vertices will two triangles have?
Ans: 3 + 3 = 6. So, two triangles will have 6 sides and vertices.

$\bullet$ How many circles are drawn?
Ans: 3

$\bullet$ A circle has 0 sides and vertices, so how many sides and vertices will three circles have?
Ans: 0

$\bullet$ How will we find the total number of sides and vertices that are drawn?
Ans: By adding the number of sides and vertices that two rectangles have, i.e., 8 and the number of sides and vertices that two triangles have, i.e., 6.

$\bullet$ How many sides and vertices are drawn in total?
Ans: 8 + 6 = 14 sides and vertices are drawn in total.

Hence, Option D is correct.

$\text{Probing Question:}$Can the sides of a circle also be added? If not, why?
A. No, as the sides of a circle are curved and there are no vertices.