Question

What are the dimensions of the tabletop with the

leaves open? Round to the nearest tenth of a foot. Someone please answer I need this for extra credit :))

Answer 1

Dimensions of the tabletop is 2.8 cm × 2.8 cm.

Explanation:

From the picture attached,

ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.

Dimensions of the tabletop ABCD,

Length = AB

Width = BC

Coordinates of A → (1, 3)

Coordinates of B → (3, 5)

Coordinates of C → (5, 3)

Coordinates of D → (3, 1)

Length of segment =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

AB =
`√((3-1)^2+(5-3)^2)`

=
`√(4+4)`

=
`2√(2)`

≈ 2.8 units

BC =
`√((5-3)^2+(3-5)^2)`

=
`√(4+4)`

=
`2√(2)`

= 2.8 units

Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.