Question

C. Read each problem and solve. Show your computation with complete solutions. (3 points each)
1. A rectangular garden is connected with semi-circles on its opposite sides. What is the area of the garden if it is 25 m long and 10m wide?

2. A certain music box has the shape of a cube. Each side of the music box is 5 centimeters long. What is the surface area of three such music boxes if they are lay down side by side?​

Answer 1

Consider the rectangle ,

length = 25 m

width = 10 m

Area = 25 × 10

= 250 m²

Consider the semicircle,

diameter = 10 m

radius = 5 m

Area = πr²

= 3.14 ( 5²)

= 78.5 m²

Area of next semicircle, = 78.5 m²

Total AREA = 250 +( 2×( 78.5) )

= 407 m²

side of cube = 5 cm

area of one side = a²

= 25 cm ²

since one side is laid down , area of remaining 5 sides is to be calculated

= 5 a²

= 5 × 25

= 125 cm²