Sophie Jura house using a square and a trapezoid. If a equals 8 cm C equals 4 cm D equals 10 cm and E equals 20 cm what is the length of the black border drawn around the house?
To find the length of the black border drawn around the house, we need to first calculate the lengths of the sides of the square and trapezoid.
In a square, all sides are equal, so the length of each side of the square is equal to A:
Side of the square = A = 8 cm
Next, we need to calculate the lengths of the sides of the trapezoid. The formula to find the perimeter of a trapezoid is P = A + C + D + E, where A, C, D, and E are the lengths of the sides of the trapezoid.
Given:
A = 8 cm
C = 4 cm
D = 10 cm
E = 20 cm
Plugging in the values:
P = 8 + 4 + 10 + 20 = 42 cm
Now, we add the perimeter of the square and the perimeter of the trapezoid to find the total length of the black border drawn around the house:
Total length of the black border = 4*A + P = 4*8 + 42 = 32 + 42 = 74 cm
Therefore, the length of the black border drawn around the house is 74 cm.