Rembrandt framed his masterpiece. The painting by itself is a rectangle with length 20 \text{ cm}20 cm 20, start text, space, c, m, end text and width 16 \text{ cm}16 cm 16, start text, space, c, m, end text. The painting and frame together form a larger rectangle with length 25 \text{ cm}25 cm 25, start text, space, c, m, end text and width 20 \text{ cm}20 cm 20, start text, space, c, m, end text. Find the area of the frame.

Respuesta :

Answer:

180cm²

Step-by-step explanation:

Area of the frame = area of the frame+ painting - area of painting.

Area of a rectangle = Length × Width

Area of the painting = 20cm×16cm

Area of the painting = 320cm²

Area of the paint+ frame = 25cm×20cm

Area of the paint+ frame = 500cm²

Area of the frame = 500cm²-320cm²

Area of the frame = 180cm²

Hence the area of the frame is 180cm²