Answer:
The approximate length of the diagonal of the rectangle = 6.4 units ⇒ B
Explanation:
* Lets revise the properties of the rectangle
- The rectangle has 4 sides
- Each two opposite sides are parallel and equal in length
- It has for right angles
- Its two diagonals are equal in length
- The diagonal divide the rectangle into two congruent right triangles
* Now lets solve the problem
∵ The length of the rectangle = 5 units
∵ The width of the rectangle = 4 units
∵ The diagonal of the rectangle with the length and the width formed
right triangle, the length and the width are its two legs and the
diagonal is its hypotenuse
- To find the length of the hypotenuse use Pythagoras theorem
∵ Hypotenuse = √[(leg1)² + (leg2)²]
∴ The length of the diagonal = √[5² + 4²] = √[25 + 16] = √41
∴ The approximate length of the diagonal of the rectangle = 6.4 units