Question

ali cuts the rectangular block of clay in half.
7 cm
7 cm
10 cm
for a, enter the area of the cross - section if the block is sliced vertically perpendicular to the base.
for b, enter the perimeter of the cross - section if the block is sliced horizontally parallel to the base.

Explanation:

Step1: Find cross-section area (A)

Vertical slice perpendicular to base creates a rectangle with dimensions 10 cm and 7 cm.
Area formula: $\text{Area} = l \times w$
$\text{Area} = 10 \times 7 = 70$

Step2: Find cross-section perimeter (B)

Horizontal slice parallel to base creates a rectangle with dimensions 10 cm and 7 cm.
Perimeter formula: $\text{Perimeter} = 2(l + w)$
$\text{Perimeter} = 2(10 + 7) = 2 \times 17 = 34$

Answer:

A. $70$ cm²
B. $34$ cm