It would be more than 100 inches because in one foot is 12 inches, so take 100 x 12 = 1200 inches
shorter side : longer side = 3 : 7
Equate 3 parts tp 9 inches:
3 parts = 9 inches
Find 1 part:
1 part = 9 ÷ 3 = 3 inches
Find 7 parts:
7 parts = 3 x 7 = 21 inches
Area = Length x Width = 21 x 9 = 189 in²
Answer: The longer side is 21in and the area is 189 in²
Answer:
The general plan is to find BM and from that CM. You need 2 equations to do that.
Step One
Set up the two equations.
(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32
BM^2 + CM^2 = 5^2 = 25
Step Two
Subtract the two equations.
(7 - BM)^2 + CM^2 = 32
BM^2 + CM^2 = 25
(7 - BM)^2 - BM^2 = 7 (3)
Step three
Expand the left side of the new equation labeled (3)
49 - 14BM + BM^2 - BM^2 = 7
Step 4
Simplify And Solve
49 - 14BM = 7 Subtract 49 from both sides.
-49 - 14BM = 7 - 49
- 14BM = - 42 Divide by - 14
BM = -42 / - 14
BM = 3
Step Five
Find CM
CM^2 + BM^2 = 5^2
CM^2 + 3^2 = 5^2 Subtract 3^2 from both sides.
CM^2 = 25 - 9
CM^2 = 16 Take the square root of both sides.
sqrt(CM^2) = sqrt(16)
CM = 4 < Answer
Step-by-step explanation:
the square root of 25 is 5
5x5=25
