A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x + 10) units and a width of 14 units. What will be the perimeter of both the rectangle and square? A. 34 units
B. 60 units
C. 64 units
D. 2 units

C 64 units

Step-by-step explanation:

P = 2L + 2W

square

2(8x) + 2(8x) = 16x + 16x = 32x.  

rectangle

2(4x + 10) + 2(14) = 8x + 20 + 28= 8x + 48

32x = 8x + 48

-8x    -8x

24x = 48

divide both sides by 24

x = 2

P = 32(2) = 64

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

9

step-by-step explanation: