Question

Madeline uses this scale model of a design she plans to paint on a wall. She uses the key 1 cm = 1. 5 ft. One gallon of paint will cover 400 square feet of wall. How many gallons of paint will Madeline use? Enter your answer as decimal in the box.

Answer 1

The amount of paint required by Madeline will be 0.8325 gallons

What amount of paint will be required by Madeline?

Given that

$1cm=1.5ft$

We will first find the area of the wall

Area of the wall = Area of trapezoidal shape+ Area of triangular shape

Area of trapezoid = $\dfrac{a+b}{2} \times h$

a= 4cm

b=14cm

h=10cm

putting this values

$A=\dfrac{4+14}{2} \times 10$

$A=90cm^{2}$

Area of triangular shape=  $\dfrac{1}{2} \times width\times height$

width=14cm

height=8cm

putting the values

$A=\dfrac{1}{2} \times 14\times 8=58cm^{2}$

$Total area of the wall= 90+58=148cm^{2}$

since we have

$1cm=1.5ft$

$148cm^{2} = 148\times (1.5)^{2} =333 ft^{2}$

Now

$1gallon = 400ft^{2}$

so for  $333 ft^{2}$  amount of paint in gallons required will be

$1ft^{2} =\dfrac{1}{400} gallons$

$333ft^{2} =\dfrac{333}{400} gallons=0.8325gallons$

Thus the amount of paint required by Madeline will be 0.8325 gallons

To know more about the area of trapezoid follow

brainly.com/question/1463152