Question

A teacher asks her students to design a game board for a class project. The dimensions of the boards created by four students are shown below.
Angela
length: 20 cm
width: 21 cm
diagonal: 29 cm

Bradley
length: 9 in.
width: 9 in.
diagonal: 9 in.


Carlton
length: 25 cm
width: 30 cm
diagonal: 35 cm

Della
length: 10 in.
width: 12 in.
diagonal: 15 in.



Whose game board could be a rectangle?

Answer 1

The answer would be Angela

20 and 21 squared is 841, 29 squared is 841 making this a right triangle, giving it the possibility to be a rectangle. the answer is (A.)

Hope i helped ^.^ Pls mark brainliest

Answer 2

Answer:

Angela's board is a rectangle.

Step-by-step explanation:

As we know rectangle follow two properties.

1). All angles of a rectangle are right angle.

2). Opposite sides of a rectangle are equal in measure.

Since all angles of a rectangle are 90°. Therefore, right angle triangle formed by length, width and diagonal will follow Pythagoras theorem.

For Angela

20² + 21² = 841 = 29²

Therefore Angela's board is a rectangle.

For Bradley

9² + 9² = 162 ≈ 9²

So Bradley's board is not a rectangle.

For Carlton

25² + 30² = 1525 ≠ 35²

Carlton's board is not a rectangle.

For Della

10² + 12² = 244 ≠ 15²

Della's board is not a rectangle.

Therefore, Angela's board is a rectangle.