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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?
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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.