Answer:
Length = 21 cm
Width = 14 cm
Step-by-step explanation:
Let the width of the jewel case = m cm
So, the length of the case = (m + 7) cm
Area of the case = 
Now, Area of a Rectangle = Length x Width
= m x (m + 7)
⇒ m x (m + 7) = 294
or, 
⇒ 
or, 
⇒(m + 21)(m -14) = 0
Hence, either (m + 21) = 0 ⇒ m = -21
or, (m -14) = 0⇒ m = 14
Since, m is the width of a case, so it can not be negative
Hence the width of the jewel case = m = 14 cm
And the length of the case = (m + 7) = 14 + 7 = 21 cm
<h3>
Answer: m = 25</h3>
====================================================
Work Shown:
Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.
Angle B is shown to be 20 degrees, so,
angle E = angle B
2(m-15) = 20
m-15 = 20/2
m-15 = 10
m = 10+15
m = 25
------------------
A slightly alternative way to solve:
2(m-15) = 20
2m-30 = 20
2m = 20+30
2m = 50
m = 50/2
m = 25
------------------
Checking the answer:
2(m-15) = 20
2(25-15) = 20
2(10) = 20
20 = 20
We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.
Answer:
..........................
Answer:
800+200
Step-by-step explanation:
