Answer:
Length of rectangle = 16 cm
Width of rectangle = 4 cm
Step-by-step explanation:
Given:
Area of rectangle = 64 cm²
Find:
Length and width
Computation:
Assume;
Length of rectangle = a
So,
Width of rectangle = a -12
Area of rectangle = l x b
So,
a(a-12) = 64
a² - 12a - 64 = 0
a² - (16-4)a - 64 = 0
a² - 16a+ 4a - 64 = 0
a (a-16) + 4(a-16)= 0
(a-16)(a+4) = 0
a= 16 , a = -4
So,
Length of rectangle = 16 cm
Width of rectangle = a -12
Width of rectangle = 16 -12
Width of rectangle = 4 cm
Answer:
Then let Cody attend the fall festival!!
Step-by-step explanation:
So,
First, I'd like to note that it is required to show work. You shouldn't need to ask for steps.
7(2p + 3) - 8 = 6p + 29
Distribute
14p + 21 - 8 = 6p + 29
Collect Like Terms
14p + 13 = 6p + 29
Subtract 6p from both sides
8p + 13 = 29
Subtract 13 from both sides
8p = 16
Divide both sides by 8
p = 2
Check
7(2(2) + 3) - 8 = 6(2) + 29
Simplify inside the parentheses first.
7(4 + 3) - 8 = 6(2) + 29
7(7) - 8 = 6(2) + 29
Now, distribute.
49 - 8 = 12 + 29
Collect Like Terms
41 = 41 This checks.
S = { 2 }
2. WXZ=YXZ
3. Reflexive property of equality
(if they are angles)-
4. WXZ=YXZ ~~Reason- Congruent angles have equal number of degrees
(if they are triangles-more likely judging by the problem)-
4. Triangle WXZ=YXZ ~ Reason- SAS Congruence Postulate
Length of the base = 16 km.
Length of the hypotenuse = 34 km. 
✎ The length of the missing leg ''
".
The length of the missing leg "a" is
.
Using Pythagoras theorem, we have
Hence verified. ✔
