length of the board is 40cm and breadth 30cm. a 4cm wide border is to left on the four side and a picture is drawn inside it. what is the area of the border? About the author Arianna
Step-by-step explanation: Let XYZW be the drawing board with a border along it measuring 3 cm. from the given information, we get the figure EFGH that is also a rectangle. Length of XYZW = 45 cm Breadth of XYZW = 20 cm Area of XYZW = length × breadth = 45 × 20 cm2 = 900 cm2 Now there is a border measuring 3 cm. ∴ Length of EFGH = 45 − 3 − 3 cm = 39 cm Breadth of EFGH = 20 − 3 − 3 = 14 cm Area of EFGH = length × breadth = 39 × 14 cm2 = 546 cm2 Area of the border = Area of XYZW − Area of EFGH = 900 cm2 − 546 cm2 = 354 cm2 Reply
Step-by-step explanation:
Let XYZW be the drawing board with a border along it measuring 3 cm. from the given information, we get the figure EFGH that is also a rectangle.
Length of XYZW = 45 cm
Breadth of XYZW = 20 cm
Area of XYZW = length × breadth
= 45 × 20 cm2
= 900 cm2
Now there is a border measuring 3 cm.
∴ Length of EFGH = 45 − 3 − 3 cm = 39 cm
Breadth of EFGH = 20 − 3 − 3 = 14 cm
Area of EFGH = length × breadth
= 39 × 14 cm2
= 546 cm2
Area of the border = Area of XYZW − Area of EFGH
= 900 cm2 − 546 cm2
= 354 cm2