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>