Question

you have been hired to paint a mural on the side of the local elementary school you want to figure out how much paint will you need based on the into design shown below each Blue square in the diagram below represent one square meter what is the area of your mural design in the square meters

Answer 1

we have that

the area of the given figure is equal to the area of two triangles and one trapezoid

see the attached figure to better understand the problem

step 1

Find the area of trapezoid

A=(1/2)(b1+b2)h

we have

b1=2 units

b2=3 units

h=2 units

substitute

A=(1/2)(2+3)(2)

A=5 units2

step 2

Find the area of the smaller triangle

A=(1/2)(b)(h)

we have

b=4 units

h=1 units

A=(1/2)(4)(1)

A=2 units2

step 3

Find the area of the larger triangle

we have

b=5 units

h=4 units

A=(1/2)(5)(4)

A=10 units2

the total area is

A=5+2+10

A=17 units2

Remember that

each Blue square in the diagram below represent one square meter

therefore

the total area is 17 m2

17 square meters