SOLUTION: a rectangle with area 50 sq cm can be divided into 2 same squares. on each side of the rectangle on the outside is constructed an equilateral triangle. find the perimeter of the

Question 982022: a rectangle with area 50 sq cm can be divided into 2 same squares. on each side of the rectangle on the outside is constructed an equilateral triangle. find the perimeter of the obtained octagon.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Rectangle divided by 2:
(50cm^2)/2=25cm^2
Side of square with 25 cm^2 area:
s^2=area
s^2=25cm^2
s=5cm
Each small square has 5cm sides.
Rectangle is 5cm x 10 cm
.
2 triangles on short sides also have 5 cm sides.
2 triangles on longer sides have 10 cm sides.
The perimeter of the octagon consists of 2 sides 0f each triangle.
2 triangles x 2 sides x 5cm=20cm
2 triangles x 2 sides x 10cm=40cm
40cm+20cm=60cm
ANSWER: The perimeter of the octagon is 60 cm.

RELATED QUESTIONS
Three congruent rectangles are placed to form a larger rectangle with an area of 1350 sq... (answered by solver91311)

8 equal squares are placed side by side to make a single rectangle whose perimeter is 180 (answered by mohanraj04)

The perimeter of a rectangle is 50cm. It's length and breadth being a natural number... (answered by josgarithmetic)

the perimeter of a rectangle is 24 cm. the area of the same rectangle is 20 sq. cm. find... (answered by checkley77)

if a square is drawn on the longer side of a rectangle ,the square area is 100% greater... (answered by stanbon)

3) A rectangle with an area of 108 is divided into 3 equal squares. What is the... (answered by xcentaur)

a rectangle is divided by 3 squares, if the longer side of the rectangle is 12cm, what is (answered by josgarithmetic)

Figure A is one square surrounded by 4 triangles (one on each side of the square). Figure (answered by macston)

three equal squares placed side by side. the area of the resulting rectangle is 108 cm^2. (answered by macston)