Question

you are planning to make the playhouse below, provide the perimeter and area this house covers. perimeter: area:

Explanation:

Step1: Count perimeter segments

Count the number of unit - length segments along the outer boundary of the playhouse. Each small square on the grid has a side - length of 1 unit.

Step2: Calculate perimeter

By counting, we find that the perimeter is composed of 32 unit - length segments. So the perimeter is 32 units.

Step3: Calculate area of rectangle part

The rectangular part of the playhouse has a length of 6 units and a width of 8 units. The area of a rectangle is $A = l\times w$, so the area of the rectangle is $6\times8=48$ square units.

Step4: Calculate area of triangle part

The triangular part of the playhouse has a base of 6 units and a height of 4 units. The area of a triangle is $A=\frac{1}{2}\times b\times h$, so the area of the triangle is $\frac{1}{2}\times6\times4 = 12$ square units.

Step5: Calculate total area

Subtract the area of the small square window (1 square unit) from the sum of the areas of the rectangle and the triangle. The total area is $48 + 12-1=59$ square units.

Answer:

PERIMETER: 32 units
AREA: 59 square units