the area of a rectangle is 500 cm sq. if the length of the sheet is 25 cm what is its width? also find the perimeter of the rectangle sheet. from the sheet, a right-angled triangle of sides 8,6, and 10, and a circle of radius 10.5 is cut. find the area of the remaining sheet
Answers
Step-by-step explanation:
Area =L×B=500cm2
L=25cm
∴25×B=500
B=25500=20cm
Perimeter =2(L+B)=2(25+20)
=90cm
Answer:
Step-by-step explanation:
Area of rectangle = l × b
∴ 500 = 25 × b
∴ b = 20 cm
Perimeter of rectangle = 2(l+b)
∴ Perimeter = 2(25+20)
= 2 × 45
= 90 cm
Area of triangle cut = 1/2 × 8 × 6 ...(∵ Given triangle is right-angled triangle , l=8 and b=6 or l=6 and b=8)
∴ Area of triangle = 24 cm²
Area of circle = π × r²
Here , r = 10.5 cm
∴ Area of circle = 22/7 × 10.5 × 10.5
∴ Area of circle = 346.5 cm²
∴ Area of remaining sheet = Area of sheet - (Area of triangle + Area of circle)
∴ Area of remaining sheet = 500 - (24+346.5)
= 129.50 cm²
∴Area of remaining sheet = 129.50 cm²