Question

1. esperanza is building a rectangular table for her mother. she needs to buy wood to build the frame of the tabletop and ceramic tiles to cover the area inside the frame. the tabletop has consecutive vertices at (1, 5), (5, 5), (5, 2), and (1, 2). if each unit represents one foot, how many feet of wood will she need for the frame? how many square feet of tiles will she need for the tabletop? (example 2)

Explanation:

Step1: Find length and width

Length: $|5 - 1| = 4$ ft, Width: $|5 - 2| = 3$ ft

Step2: Calculate perimeter (wood length)

Perimeter formula: $P = 2(l + w)$
$P = 2(4 + 3) = 14$ ft

Step3: Calculate area (tiles area)

Area formula: $A = l \times w$
$A = 4 \times 3 = 12$ sq ft

Answer:

She will need 14 feet of wood for the frame, and 12 square feet of tiles for the tabletop.