Answer: 36 feet
Step-by-step explanation:
The length of border that Herbert needs simply means that we've to calculate the perimeter.
The sides of the rectangle are 7 ft by 11 ft. The perimeter of a rectangle will be:
= 2(Length + Breadth)
= 2( 7ft + 11ft)
= 2 × 18
= 36 feet
Considering the figure,
In ΔABC, right angled at B, we can use Pythagoras theorem :

..................(1)
Also we are given area of rectangle as 108 m²
Area of rectangle = length * breadth = x * y
.............(2)
........(3)
plugging the value of x from equation (3) in (1),


We can use quadratic formula to solve this.
On solving this we get four values of y as :
y=12, y=-12, y=9 and y=-9
since length cannot be negative we have two y values as :
y=12 and y=9
plugging these in equation (3) to get x as
x=108/y = 108/12 = 9
x = 108/9 =12
so we have two answers:
length =9 m and breadth = 12m
length =12 m and breadth =9m
Perimeter = 2(l+b)
Perimeter = 2(9+12) = 42m
Answer:
4.84 square inches
Step-by-step explanation:
To first find the missing angle, 180 - (50+47) = 83
Then I used the formula Area = (a x b x sinc) / 2
Plug in side one for a, side two for b, and the angle between for c