Answer:
see explanation
Step-by-step explanation:
Since the pentagon has one line of symmetry. This will be a vertical line through C, thus
CD = BC = x + 1 and ED = AB = 2x + 3
Perimeter = AE + ED + DC + CB + BA
= 4x + 2x + 3 + x + 1 + x + 1 + 2x + 3 = 10x + 8
Perimeter is given as 21, thus
(b)
10x + 8 = 21 (subtract 8 from both sides )
10x = 13 ( divide both sides by 10 )
x = = 1.3
ANSWER
a. d+4
b. 4d+16
EXPLANATION
The area of the square coaster is represented by:
We split the middle term to obtain,
We factor by grouping to get,
Since area of a square is l² , it means the side length of the square is
b) The perimeter of a square is given by
We substitute the length in terms of d, to obtain;
Or