Find the area of the figure with Heron’s formula
1 answer:
Answer:
735 cm²
Step-by-step explanation:
The figure is a trapezium .The area of the triangle section can be calculated using the Heron's formula.
The other part of the figure will be a square of sides 21 cm by 21 cm
<u>Area of the square section</u>
Area = l²
Area = 21* 21 = 441 cm²
<u>Area of the triangle using Heron's formula</u>
Sides of the triangle are ;
a= 28 cm
c= 35 cm
b = 21 cm -----height of the trapezium
The Heron's formula is given as;
where s is half the perimeter of the triangle
Perimeter of the triangle is given as ;
P= 35 + 28 + 21 =84 cm
s= 84/2 = 42 cm
Total area = 294 + 441 = 735 cm²
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Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)
m = =
= 2 , thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line