Question

Miguel Is building a doghouse.He cuts one sheet of wood to make the front wall.he also cuts out a door that is 2 feet by 2 feet.The dimensions, in feet,are shown in the diagram,Miguel needs to paint the wood.What amid the area he needs to paint?1.What is the area of the rectangular piece of wood before the square is cut out? Include units with your answer2. what is the area of the square that was cut out of the wood? Remember to include units

Answer 1

1) The area of the rectangular piece of wood can be found using the area of a rectangle

The area of a rectangle is expressed as length x width

length = 3ft

width = 4ft

Hence the area of the piece of wood before = 3 x 4 = 12 square ft

`\text{Area = 12 ft}^2`

2)The area of the square that was cut out can be found using the area of a square expressed as

length x length

Length = 2ft

Length = 2ft

Therefore, the area of the cut-out wood = 2 x 2 = 4 square ft

`\text{Area = 4ft}^2`

3) The area Miguel needed to paint can be found using the area of a rectangle already expressed above but however, we must divide the structure into three parts, viz