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Usimov [2.4K]
3 years ago
5

Cw 11.1 11.4 round to the tenths

Mathematics
2 answers:
Rudiy273 years ago
8 0

QUESTION.1

The area of the shaded region equals area of the bigger rectangle minus area of the smaller rectangle.

By equation, area of a rectangle =l\times w

This implies that the area of the bigger rectangle =236\times105

=24780ft^2

Also,the area of the smaller rectangle68\times42

=2856 ft^2

Hence,area of the shaded region=24780-2856=21924ft^2  

QUESTION.2

The polygon is a trapezium.

The area of a trapezium is given as;

\frac{1}{2}\times(a+b)\times h

where a and b denote the the two parallel sides and h denotes the height

From the question a=40, b=48, h=36

 By substitution,the area of the trapezium

=\frac{1}{2}\times(40+48)\times36=\frac{1}{2}\times88\times36=1584 sq.units

QUESTION 3

The polygon is a trapezium.

The area of a trapezium is given as;

\frac{1}{2}\times(a+b)\times h

where a and b denote the the two parallel sides and h denotes the height

From the question a=6, b=20, h=8

 By substitution,the area of the trapezium

=\frac{1}{2}\times(6+20)\times8=\frac{1}{2}\times26\times8=104 sq.units

QUESTION 4

The polygon is a parallelogram.

The area of a parallelogram is given as;

A=b\times h

where b denotes of the length of any base and h denotes the height

From the question b=14 and h=9

By substitution,the area of the  parallelogram

A=14\times9=126sq.units

QUESTION 5

The polygon is a rhombus.

The area of a rhombus is given as;

A=s^2

where s is the length any side

From the question the value of s is 9

By substitution,the area of the rhombus

A=9^2=81 sq.units

QUESTION 6

The polygon is a kite.

The area of a kite is given as;

A=\frac{1}{2}(a\times b)

where a and b denote the length of the two diagonals

From the question a=7+7=14

b=24+7=31

 By substitution,the area of the kite

A=\frac{1}{2}(14\times31)=217sq.units

QUESTION.7

The polygon is a triangle.

The area of a triangle is given as;

A=\frac{1}{2}(b\times h)

where b is length of the base and h denotes the length of the h of the height.

From the question b=15

h=9

 By substitution,the area of the triangle

A=\frac{1}{2}(15\times9)=67.5sq.units

QUESTION.8

The area of a triangle is given as;

A=\frac{1}{2}(b\times h)

where b is length of the base and h denotes the length of the height.

From the question b=12inches

h=x  and the area, A=36in^2

 By substitution,

36=\frac{1}{2}(12\times x)

\implies 36=6x

Dividing both sides by 6

\implies x=6inches

QUESTION. 9

The area of a kite is given as;

A=\frac{1}{2}(a\times b)

where a and b denote the length of the two diagonals

From the question a=10yards

b=x=?  and area,A=100yd^2  

 By substitution,

100=\frac{1}{2}(10\times x)

this implies that100=5x

Multiplying both sides by \frac{1}{5},

We obtain,x=20yards

wariber [46]3 years ago
3 0

Answer:

1. A = 21,924.0

2. A = 1,584.0

3. A = 104.0

4. A = 126.0

5. A = 81.0

6. A = 217.0

7. A = 67.5

8. x = 6.0

9. x = 20.0

Step-by-step explanation:

Kindly find the attached for the step by step explanation

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