Answer:
The dimension of the rectangular closet before construction = (x + 5) ft by (x + 4) ft
Step-by-step explanation:
The homeowner has a rectangular closet and the area of the closet is (x² + 9x + 20) ft². The area of a rectangle is the length multiplied by the width. The length is given as (x + 5) ft. After construction the area change to (x² + 14x + 48) ft². The length became (x + 6) ft.
The dimensions before construction can be calculated as follows:
Mathematically,
area of rectangle = Length × width
area = (x² + 9x + 20) ft².
Length = (x + 5) ft
Width = unknown
area = LW
(x² + 9x + 20) = (x + 5) W
W = (x² + 9x + 20) / x + 5
W = (x + 4) ft
The dimension of the rectangular closet before construction = (x + 5) ft by (x + 4) ft
Answer:
22
Step-by-step explanation:
5.50p=5.50x4=22
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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
We need only subtract 3 units from <span>g(x)=x^2+2 to obtain the function h(x).
The correct result is h(x)=</span><span>x^2+2 -1.</span>