Question

The diagram shows a plot of land, PQRS.

PQ is parallel to SR and PS is perpendicular to SR

Answer 1

30m

Explanation:

Solution Given:

Since the given figure is Trapezoid.

we have Formula:

Area of Trapezoid=½*height*(side1*side2)

Here

Height= PS

Side1=120m

Side2=80m

Area = 3000m²

Now

substituting value:

Area of Trapezoid=½*PS*(120+80)

3000m²=½*PS*200

3000=100*PS

PS=3000/100

PS=30m

Therefore, The length of the fence is 30m.

Answer 2

• 30 m

--------------------

Use area formula for a trapezoid:

• 
  `A=\cfrac{1}{2}(b_1+b_2)h`

where we are given all values apart from h, PQ and SR are bases and PS is the height.

Substitute and solve for h:

• 
  `A=\cfrac{1}{2}(PQ+SR)PS`
• 
  `3000=\cfrac{1}{2}(120+80)PS`
• 
  `3000=100*PS`
• 
  `PS=30`

The fence PS is 30 m long.