Find the area of the quadrilateral in the figure. a. 13.64 b. 22.25 c. 19.64 d. 15.25

The answer is option C.

This is a composite figure made up from a right angled triangles ( with sides 3, 4 and 5) and an isoceles triangle with 2 sides both equal to 6.

Area of the right angled triangle =    1/2 * 3 * 4 = 6 sq units.

Height of the isosceles triangle = sqrt (6^2 - 2.5^2) =   5.454

Its area = 1/2 * 5 * 5.454 = 13.635

So area of the whole figure = 19.64 sq units

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: