Question

1. Find the area of the following geometric figure.

Answer 1

Answer:

1. Area of the triangle is $96m^2$.

2. 2 gallons of paint will you need to cover 224 sq.ft

3.  Volume of the following solid(to the nearest tenth), is 580.1 $cm^3$.

4. The area cover is 242 sq. ft.

5. The sides of the triangle on the drawing should be 6, 8, and 9 inch

Step-by-step explanation:

1.

Given:

Base of the triangle(b) is 16 m

and altitude of the triangle(h) is 12 m.

To find the Area of the triangle(A), given by;

$A=\frac{1}{2}\left (b\cdot h\right)$

$A=\frac{1}{2}\left (16\cdot 12\right)$$=8 \cdot 12=96 m^2$

Therefore, the Area of the triangle is $96m^2$.

2.

Given: You wish to paint a storage shed. Its four walls measure 7 ft. high and 8 ft. wide each.

First find the area(A) of one wall.

$A=b\cdot h$

where b is the width and h is the height of the wall.

$A=8ft\cdot 7ft$=$56ft^2$.

Now, area for four walls is,  $4\cdot 56=224 ft^2$

Since, one gallon of paint covers 160 sq. ft or we can say that 160 sq. ft cover in one gallon of paint.

for 224 sq ft cover in ,  $\frac{224}{160} =1.4$ gallon of paint

2 gallons of paint will you need to cover 224 sq.ft.

3.

Given: A rectangular solid has sides of 10.5 cm, 6.5 cm, and 8.5 cm

length (l)=10.5 cm

breadth(b)=6.5 cm

height(h)=8.5 cm

Volume of rectangular solid(V) is given by, $V=lbh$

$v=10.5\cdot 6.5\cdot 8.5$$=580.125 cm^3$

Therefore, the volume of the following solid(to the nearest tenth), is 580.1 $cm^3$.

4.

Given: You are laying an asphalt driveway. if the driveway is 22 feet long and 11 feet wide.

length(l)=22 ft

Wide(w)= 11 ft

Area cover (A) is given by,  $A=lw$

$A=22\cdot 11=242 ft^2$

Therefore, the area cover is 242 sq. ft.

5.

Given:  A triangle with sides 12 feet, 16 feet, and 18 feet on a drawing

Use:  1 inch = 2 feet.

Convert each sides of a triangle into inches.

12 feet

1 inch = 2 feet

12 feet = 6 inch

similarly, others sides 16 feet = 8 inch and 18 feet = 9 inch

Therefore, the sides of the triangle on the drawing should be 6 inch, 8 inch, and 9 inch

Answer 2

1.       A = bh/2

Where b is the base of the triangle

H is the height or altitude

A = (16)(12)/2

A = 96 sq m

2.       A = lw

a = (8)(7)

a = 56 sq ft x 4 walls

a total = 224 sq ft

paint required = 224 sq ft ( 1 gal / 160 sq ft)

= 1.4 gal

3.       V = lwh

V = 10.5 x 6.5 x 8.5

V = 580.1

4.       A = lw

A = 22 ( 11)

A = 242

5.       Since 1 in = 2 ft

6 in , 8 in , 9 in