Question

A vegetable garden in the shape of a rectangle is to be divided up into 4 sections using the diagonals. A stake marks the intersection of the diagonals. What is the length of 1 diagonal if the distance from 1 vertex to the stake is 8.1 feet?

A. 24.3 ft
B. 16.2 ft
C. 4.05 ft
D 8.1 ft

Answer 1

B. 16.2 ft

Explanation:

one vertex to the stake is 8.1, and because the stake is the "halfway" point, the diagonal is twice that length.

8.1 * 2 = 16.2 ft

Answer 2

The correct option is B.

Explanation:

Given: Rectangle with the stake marking where diagonal intersect each other.

To find : The length of the one of the diagonal.

Solution:

Diagonals of rectangle bisect each other into two equal parts.

So, the distance of all vertices from the stake will be same as that of the 8.1 feet.

So the length of the diagonal will be:

`2* \text{Distance from 1 vertex to the stake}`

`=2* 8.1 feet=16.2 feet`

Hence, the length of the diagonal will be 16.2.