a painting 40 cm long and 28 cm wide is pasted on a cardboard such that there is a margin of 2 cm along each of its sides find the total area of the margin
Answers
Answer:
288 cm ^2
Step-by-step explanation:
Area of the painting = 40 ×28 cm ^2 == 1120cm^2.
Area of the cardboard :
length = 40+2(2) cm = 44 cm
breadth =28+2(2) cm = 32 cm
Area of the cardboard= 44 × 32 cm^2.
= 1408 cm^2.
Area of margin = 1408 - 1120 cm ^2
= 288 cm^2.
#answerwithquality & #BAL
The area of the total margin is 288 cm².
Explanation:
The length of the painting = 40 cm
The breadth of the painting = 28 cm
∴ The area of the painting = (Length × Breadth)
=(40×28) cm²
= 1120 cm²
It is stated that the border is from each side of the painting and the width of the border from each side is 2 cm.
Hence,
Length of the painting with the border = (40+2+2) cm [∵ it is increasing from both side such as up and down]
= 44 cm
The width of the painting with the border = (28+2+2) cm [∵ it is increasing from both the sides such as, left and right.]
= 32 cm.
∴ The area of the painting with the border = (Length × breadth)
= ( 44× 32) cm²
= 1408 cm²
∴ The area of the margin = (Area of the painting with the border - area of the painting)
= (1408 - 1120) cm²
= 288 cm²
Hence, the area of the total margin is 288 cm².
#answerwithquality
#BAL