A rectangular picture 6cm by 8cm is enclosed by a frame (0.5) wide. calculate the area of the frame.
Draw a picture. Two strips of 7x.5 plus two strips of 8*.5. Answer: 15
The ans to no 1 is c
To find the area of the frame, we need to subtract the area of the inner rectangle (picture) from the area of the outer rectangle (frame + picture). Here's how you can calculate it step by step:
1. Calculate the area of the inner rectangle (picture):
- Length of the picture = 6 cm
- Width of the picture = 8 cm
- Area of the picture = Length * Width = 6 cm * 8 cm = 48 cm²
2. Calculate the dimensions of the outer rectangle (frame + picture):
- Length of the outer rectangle = Length of the picture + 2 * frame width
= 6 cm + 2 * 0.5 cm = 7 cm
- Width of the outer rectangle = Width of the picture + 2 * frame width
= 8 cm + 2 * 0.5 cm = 9 cm
3. Calculate the area of the outer rectangle:
- Area of the outer rectangle = Length * Width = 7 cm * 9 cm = 63 cm²
4. Calculate the area of the frame by subtracting the area of the inner rectangle (picture) from the area of the outer rectangle:
- Area of the frame = Area of the outer rectangle - Area of the picture
= 63 cm² - 48 cm² = 15 cm²
Therefore, the area of the frame is 15 cm².