Answer:
length = 32cm; width = 20cm
Step-by-step explanation:
The answer to the question above is provided thus.
Formula for calculating the perimeter of a rectangle = 2(l + w)
Where,
l = length
w = width
Recall that perimeter is 104 cm and length is 12cm longer than the width.
Thus,
P = 2(l + w)
Since perimeter is 2 times l + w, we divide through by 2 to get l + w. That is:
Dividing through by 2
since length is length is 12cm longer than the width, we think of two numbers whose sum equals 52 and difference equals 12. The numbers are 32 and 20. That is, 32 + 20 = 52; 32 - 20 = 12.
Therefore,
104cm = 2( 32cm + 20cm)
Hence, length is 32cm while width is 20cm. The length is 12cm longer than the width such that 32cm - 20cm = 12cm.
Thus, the dimension of the rectangle whose perimeter is 104cm is 32cm + 20 cm or 32cm and 20cm.
Check,
Perimeter of a rectangle = 2( l + w)
104cm = 2( 32cm + 20cm)
104cm = 2(52cm)
104cm = 2 × 52cm
104cm = 104cm
Length is 12cm longer than the width
32cm - 20cm = 12cm
Answer:
3
Step-by-step explanation:
3
Answer:
$14.44
Step-by-step explanation:
So lets lay out the information:
The items cost: $13.94
Sales tax: 4%
Step 1, change the percent to a decimal:
To change a percent to a decimal, you move two (2) decimal places to the left. So 4% would be 0.04.
Step 2, figure out 4% of $13.94:
How we do this is we take the decimal and multiply it by $13.94.
0.04*$13.94= $0.55
Step 3, Add the tax amount to the regular amount:
$13.94+$0.55=$14.44
The item cost + sales tax is $14.44
Answer:
<h2>0</h2>
Step-by-step explanation:
Given the expression after 4 has been subtracted from both sides as
1/2 x = - 1/2 x, the original expression will be gotten by adding back 4 to both sides of the resulting expression as shown;
1/2 x + 4 = - 1/2 x + 4
x/2 + 4 = -x/2 + 4
Find the LCM of both equation;
(x+8)/2 = (-x+8)/2
Multip<u>l</u>ying both sides by 2 will give;
x+8 = -x+8
Collecting the like terms;
x+x = 8-8
2x = 0
x = 0/2
x = 0
Hence, the value of x is 0