Part A
<h3>Answer:
h^2 + 4h</h3>
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Explanation:
We multiply the length and height to get the area
area = (length)*(height)
area = (h+4)*(h)
area = h(h+4)
area = h^2 + 4h .... apply the distributive property
The units for the area are in square inches.
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Part B
<h3>Answer:
h^2 + 16h + 60</h3>
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Explanation:
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Similarly, along the vertical side we'd have the h go to h+3+3 = h+6
The old rectangle that was h by h+4 is now h+6 by h+10
Multiply these expressions to find the area
area = length*width
area = (h+6)(h+10)
area = x(h+10) ..... replace h+6 with x
area = xh + 10x .... distribute
area = h( x ) + 10( x )
area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6
area = h^2+6h + 10h+60 .... distribute again twice more
area = h^2 + 16h + 60
You can also use the box method or the FOIL rule as alternative routes to find the area.
The units for the area are in square inches.
Answer:
B
Step-by-step explanation:
Answer:
<h2>33.2Km</h2>
Step-by-step explanation:
<h3>Time used for journey = </h3>
13 : 24 - 11 : 32 = 1 : 92
1 : 92 = 1 hour 92 minutes
1 hour 92 minutes = 2 hours 32 minutes
<h3>changing 32 minutes to hours</h3>
1 h = 60 min
x = 32 min
x= 32 /60
x= 8/15 hours
<h3>Adding the 2hours to 8/15 hours</h3>
8/15 h + 2 h = 38 / 15
<h3>Using formula for distance</h3>
Distance = Speed × Time
Distance = 85km / h × 38 /15 h
Distance = 33.15 km
To 1DP = 33.2
Answer:
y = 0
Step-by-step explanation:
y =1/2(4)-2
y= 2-2
y=0
Answer:
Length of Charlie's brother's room = 8 2/5 feet
Area of Charlie's brother's room = 60 9/10 feet²
Step-by-step explanation:
Width Charlie's room = 7 1/4 = (7 x 4 +1)/4 = 29/4 feet
Length Charlie's room = 10 1/2 = (10 x 2 +1)/2 = 21/2 feet
Length brother's room = 4/5 x 21/2 = (4 x 21)/(5 x 2) = 84/10 = 8 2/5 feet
Area = Length x Width = (42/5 x 29/4) feet² = 1218/20 feet² = 60 9/10 feet²
