A rectangle has an area of 18 square units. What can be said of its height and width? Check all that apply.

A, C, D

Step-by-step explanation:

Step 1: Solve

Understand that to find the area of a rectangle it is the length times the width so the only answers should be a whole factor of 18

Grouped factors of 18: (1,18),(2,9),(3,6),(6,3),(9,2),(18,1)

If we check the answers A, B, C and D only A, C, D are factors of 18 so

Therefore the answers are A, C, D

A, C, and D.

Step-by-step explanation:

A: 6 times 3 equals 18. Check

B: 8 times 10 equals 80. Wrong

C: 1 times 18 equals 18. Check

D: 3 times 6 equals 18. Check.

Multiply the two numbers they give you and if you get the area, it is correct.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

mean, 40.6

step-by-step explanation: