Question

What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and passes through the midpoints of the 10 cm edges in the figure below?

( )centimeters by 18 centimeters

Answer 1

Not in mathematics, unfortunately. I think @hero and @Vocaloid are good at Mathematics, they might help when they have the time.

Answer 2

first let's draw the midpoints of the 10 cm sides, as indicated

Answer 3

then the perpendicular cross section

Answer 4

what are the dimensions of that perpendicular cross section?

Answer 5

5

Answer 6

hm, not quite:

Answer 7

notice how these two sides are the same length

Answer 8

5 & 8

Answer 9

notice how it shares the height of the rectangle (18) and the width (8)

Answer 10

so it would be 40

Answer 11

it is asking for the dimensions of the cross section not the area

what is the height and width of the cross section?

Answer 12

18

Answer 13

that's the height, good, but what's the width?

Answer 14

5

Answer 15

notice how the width of the cross section and the width of the rectangle are equal

Answer 16

do you see how the cross section and the 8cm side have the same direction and width?

with that being said what's the width of the cross section?

Answer 17

ok the width of it is 8 then

Answer 18

good, so the missing dimension is 8cm

Answer 19

k

Answer 20

thank yall