Answer:
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Answer:
The dimension of the garden is 52.5ft by 43.5ft
Step-by-step explanation:
Given
The shape above
Required
Determine PQ
Determine dimension of the garden
Calculating Length PQ
Represent the length of the inner rectangle as L
Represent the width of the inner rectangle as W
The distance between the inner rectangle and the outer triangle is 4ft
This implies that;
Substitute for
Also;
Substitute for
Calculating The Dimension of The Garden
First, we need to determine the Area of the inner rectangle
Recall that and
So;
For the bigger rectangle
Recall that and
So;
Given that the Area of the walkway is
This implies that
Substitute and
Open All Brackets
Collect Like Terms
Divide both sides by 8
Since the dimensions of the garden is and
<em>Substitute 43.5 for x in both cases</em>
<em>Hence, the dimension of the garden is 52.5ft by 43.5ft</em>
Type o ( ii) = 6 . 25
Type A ( l^A l ^A or l ^A i ) = 18 . 75
Type B ( l ^b l^b or l ^ bi ) = 18.75
Type AB ( l ^ A l^ B) = 56.25
Answer:
x = 8
Step-by-step explanation:
The diagram shows two similar triangles. Similar triangles have all the same angles and the sides are proportional to one another. So, by setting up a proportion of the sides, you can solve for the missing variable:
Cross-multiply: 72(14x + 5) = 156(54)
Distribute: 1008x + 360 = 8424
Subtract 360 from both sides: 1008x + 360 - 360 = 8424 - 360
Divide: 1008x/1008 = 8064/1008
Solve for x: x = 8