George had one sheet of paper. He cut it into 6" x 5", and 3" x 6". What were the dimensions and total area of his original sheet of paper explain your answer

Respuesta :

Answer:[tex]l={8}'' ,b={6}''[/tex],[tex]l={6}'' ,b={8}''[/tex]

and area is[tex]=48[/tex] inch square

Step-by-step explanation:

area of sheet[tex]=l\times b[/tex]

area of sheet first[tex]={6}''\times {5}''[/tex]

[tex]=30[/tex] inch square

area of sheet second[tex]={3}''\times {6}''[/tex]

[tex]=18[/tex] inch square

total area of both sheet[tex]=30+18[/tex]

[tex]=48[/tex] inch square

area of sheet[tex]=l\times b[/tex]

[tex]=48[/tex] inch square

[tex]l={6}'' ,b={8}''[/tex]

or

[tex]l={8}'' ,b={6}''[/tex]

perimeter of sheet

[tex]=2\left ( l+b \right )[/tex]

[tex]=2(6+8)[/tex]

[tex]={28}''[/tex]

Answer:

Therefore the dimension of the paper were 9"×11".

Therefore the area of the sheet is  99   square inches.

Step-by-step explanation:

Length: Usually the longer side of a rectangle is known as the length of the rectangle.

Breadth: Comparatively the shorter side of a rectangle is known as the breadth of the rectangle.

Dimension: The length of sides of a quadrilateral is known as the dimension of the quadrilateral.

Rectangle:

  • The parallel sides are equal.
  • The diagonals cut to each other at their mid-point.
  • Sum of all four angle is 360°.
  • Each side of the rectangle cuts each other at 90°.

If the dimension of a rectangle is written as a"×b"

It means a is the length of the rectangle in inches and it means b is the breadth of the rectangle in inches.

Inches is denoted by "

George cuts a paper into 6"×5" and 3"×6"

6"×5"⇒ the length is 6"  and breadth is 5"

3"×6" ⇒ the length is 3"  and breadth is 6"

                    ____+_______________+____

Total length of

paper  is     (6"+3")=9"   and breadth is (5"+6")=11"

Therefore the dimension of the paper were 9"×11"

Area of rectangle is = length×breadth

                                 = (9×11) square inches.

                                =99   square inches

Therefore the area of the sheet is  99   square inches.