A picture measures 40 cm by 50 cm. A 7.5 cm wide mat goes around the picture. Calculate the area of the mat.
just subtract the picture from the total area:
(40+15)(50+15) - 40*50
To calculate the area of the mat, you need to determine the dimensions of the mat. Since the mat goes around the picture, it adds its width to each side of the picture.
First, calculate the new dimensions of the picture with the mat:
Length with mat: 40 cm + 2 * 7.5 cm = 55 cm
Width with mat: 50 cm + 2 * 7.5 cm = 65 cm
Now, calculate the area of the mat:
Area of the mat = (Length with mat) * (Width with mat)
= 55 cm * 65 cm
= 3575 cm²
Therefore, the area of the mat is 3575 cm².