Question

A rectangle flower bed is 9 feet wide and 12 feet long .what is the length of the diagonal?​

Answer 1

Answer:

15 feet

Step-by-step explanation:

The question talks about;

• A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

• All the angles in a rectangle are right angles
• A diagonal divides a rectangle into two right-angled triangles
• The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

   = 225

c = √225

  = 15

Therefore, the length of the diagonal is 15 feet