(a) The perimeter of the shape is the sum of half a circumference and the diameter itself.
The circumference of a circle with radius
is
, and since
we can write the circumference as

So, half a circumference is

Ad we get the perimeter by addind the diameter:

(b) Given the perimeter, we can solve for
:

So, we can divide both sides by the parenthesis and we have

Simplify brackets
6 - 3x - 10 + 4(2 - x) = 15
Simplify 6 - 3x - 10 + 2(2 - x) to -4 - 3x + 4(2 - x)
-4 - 3x 4(2 - x) = 15
Expand
-4 - 3x + 8 - 4x = 15
Simplify -4 - 3x + 8 - 4x - 7x
4 - 7x = 15
Subtract 4 from both sides
-7x = 15 - 4
Simplify 15 - 4 to 11
-7x = 11
Divide both sides by -7

Answer:
15
Step-by-step explanation:
the triangles are similar so will be the same proprotion,
I have attached a picture showing how I solved this. the second traingle is 3 times as large (15 by 12) compared to the first triangle which is 4 by 5.
7 x 50 rounding the second digit to the nearest 10 and then multiply 7 x 3 and add the two answers together 350 + 21 = 371