Answer:

Step-by-step explanation:
Subtract (6x-3y) from (9x+2y):

This can also be seen as:

Distribute the -1 to (6x-3y):

Simplify the parentheses:

Group like terms:

Combine:

This expression can't be further simplified. Therefore, 3x+5y is the answer.
:Done
If length of rectangle is 8 cm, breadth is 4 cm, side of square is 3 cm, base of triangle is 3 cm, then the area of figure will be 48.5
.
Given that length of rectangle is 8 cm, Breadth of rectangle is 4 cm,side of square is 3 cm,base of right angled triangle is 3 cm,height of triangle is 5 cm.
Area of figure=Area of rectangle+Area of square+Area of triangle
Area of rectangle=length*breadth
Area of square=Side*Side
Area of triangle=1/2 *Base*Height
Area of figure=8*4+3*3+1/2 *3*5
=32+9+1/2 *15
=41+15/2
=(82+15)/2
=97/2
=48.5 
Hence if length of rectangle is 8 cm, breadth is 4 cm, side of square is 3 cm, base of triangle is 3 cm, then the area of figure will be 48.5
.
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Answer:
Perimeter of A'B'C'D' = 9 units
Step-by-step explanation:
Given:
Perimeter of ABCD = 27 units
Scale factor = 1 / 3
Find:
Perimeter of A'B'C'D'
Computation:
Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]
Perimeter of A'B'C'D' = 1/3[27]
Perimeter of A'B'C'D' = 9 units
The area of the two triangular bases is
(total base area) = 2×(1/2)bh
= bh
= (10 m)(6 m) = 10·6 m² = 60 m²
The area of the three rectangles making up the remaining faces of the prism is
(total lateral area) = length×base + length×height + length×hypotenuse
= length×(base + height + hypotenuse)
= (16 m)(10 m + 6 m + 11.6 m)
= (16 m)(27.6 m) = 16·27.6 m² = 441.6 m²
Then the surface area of the prism is the sum of these
surface area = total base area + total lateral area
= 60 m² + 441.6² = 501.6 m²
When rounded to the nearest whole number, this is
A) 502 m²