Answer:
The answer is 10 and 37 degrees.
Step-by-step explanation:
Triangle angles add up to 180.
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Answer:
1
Step-by-step explanation:
As per circle theorem rule, ∠GDE is twice than ∠GFE
10x +94 = 2 × (x+51)
10x + 94 = 2x + 102
8x = 8
x = 1
∠GDE= 10x+94° = 104°
∠GFE= x + 51° = 52°
Let the side of the garden alone (without walkway) be x.
Then the area of the garden alone is x^2.
The walkway is made up as follows:
1) four rectangles of width 2 feet and length x, and
2) four squares, each of area 2^2 square feet.
The total walkway area is thus x^2 + 4(2^2) + 4(x*2).
We want to find the dimensions of the garden. To do this, we need to find the value of x.
Let's sum up the garden dimensions and the walkway dimensions:
x^2 + 4(2^2) + 4(x*2) = 196 sq ft
x^2 + 16 + 8x = 196 sq ft
x^2 + 8x - 180 = 0
(x-10(x+18) = 0
x=10 or x=-18. We must discard x=-18, since the side length can't be negative. We are left with x = 10 feet.
The garden dimensions are (10 feet)^2, or 100 square feet.
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