Question

Daphne has to assemble the shape of the top surface of a toy using the two triangular pieces shown below. She is aware that the shape of the surface should be a rectangle. What will be the length of the sides of the rectangular top surface after it is assembled?

• A. The side lengths of the toy are $2\text{cm and}4\text{cm}$.
  
• B. The side lengths of the toy are $5\text{cm and}3\text{cm}$.
  
• C. The side lengths of the toy are $3\text{cm and}4\text{cm}$.
  
• D. The side lengths of the toy are $5\text{cm and}4\text{cm}$.
  

Answer 1

The correct option is C The side lengths of the toy are $3\text{cm and}4\text{cm}$.


Daphne was aware that the shape she has to create is a rectangle.
The only possible combination to make a rectangle is illustrated below.
Hence, the side lengths of the toy’s rectangular top surface are $3\text{cm and}4\text{cm}$.