Question

Fez is trying to build a dollhouse with the shapes given below. If the outside perimeter of the dollhouse is 114 cm, pick the correct shape.

• A. (i)
• B. (ii)
• C. (iv)
• D. (iii)

Answer 1

The correct option is A (i)

The perimeter of a shape can be found by adding the dimensions of each side.

Let's find the perimeter of each shape.

1. Perimeter of figure (i):
9 cm + 16 cm + 14 cm + 2 cm + 30 cm + 2 cm + 16 cm + 25 cm = 114 cm

2. Perimeter of figure (ii):
9 cm + 16 cm + 14 cm + 2 cm + 54 cm + 2 cm + 16 cm + 31 cm = 144 cm

3. Perimeter of figure (iii):
4 cm + 12 cm + 14 cm + 2 cm + 30 cm + 2 cm + 12 cm + 25 cm = 101 cm

4. Perimeter of figure (iv):
9 cm + 16 cm + 3 cm + 2 cm + 30 cm + 2 cm + 16 cm + 12 cm = 90 cm

Thus, figure (i) has a perimeter of 114 cm.

So, Fez should select shape (i).