First one.....this is a 3-4-5 right triangle
x = 3 x + 1 = 4 x + 2 = 5
tan A = BC/AB = x / [ x + 1 ] = 3 / 4
Second one....this is a little tough
We have a semi-circle with a radius of 3
So....its perimeter = pi * 3 units
Then, we have a four sided figure
Two of sides have a length of 3 = 6 units
Let the bottom vertex of the figure lie at (0,0)
Then the bottom left vertex lies at (-5, 2)
And the length of the bottom edge = sqrt (5^2 + 2^2) = sqrt(29) units
And the bottom right vertex lies at (1,2)
So...the length of the bottom right edge = sqrt( 1^2 + 2^2) = sqrt(5) units
So....the total perimeter is [ 3pi + 6 + sqrt(29) + sqrt(5) ] = 23.046 units
Last one
Easy
area = base * height = 14 * 10 = 140 in^2