Question

a cube is shown with a cross section creating square gpmh where gh = hm = hp = pg = 3.5.
complete the statement.
the perimeter of the cross section is
and the area of the cross section

Explanation:

Step1: Find Perimeter of Square

The cross - section is a square with side length \(s = 3.5\). The formula for the perimeter \(P\) of a square is \(P=4s\).
Substitute \(s = 3.5\) into the formula: \(P = 4\times3.5=14\).

Step2: Find Area of Square

The formula for the area \(A\) of a square is \(A = s^{2}\).
Substitute \(s = 3.5\) into the formula: \(A=(3.5)^{2}=3.5\times3.5 = 12.25\).

Answer:

The perimeter of the cross - section is \(14\) and the area of the cross - section is \(12.25\).