Answer:

Step-by-step explanation:
Given



Find the length of HG
First, it should be noted that the displayed figure is a trapezium
<em>The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;</em>
In this case;

Substitute the values of Area, HE and EF


Divide both sides by 4


Subtract 12 from both sides



<em>Hence, the length of HG is 5mm</em>
The triangle inequality applies.
a) 10000 < 1000 +10x
.. 1000 < 100 +x
.. 900 < x
b) 1000 < 10000 +10x
.. 100 < 1000 +x
.. -900 < x
c) 10x < 10000 +1000
.. x < 1100
x can be between 900 and 1100
Represent the length and width by L and W. Then L = W + 4.
Using the perimeter formula: P = 2L + 2W = 68 ft = 2W) + 2(W+4).
Solve for W: 68 = 2W + 2W + 8, or 4W = 60. Thus, W = 15 and L = 19.
The dimensions of the rectangle are 15 by 19 feet.