Question

Harjit has four rectangular pieces of wood, each 30 cm long and 3 cm wide. he arranges the four pieces of wood to form the border of a picture frame for a picture of a teddy bear, as shown

Answer 1

The area of the region enclosed by the wooden frame is

270cm^2, calculated by subtracting the area of the inner rectangle from the area of the outer rectangle formed by four pieces of wood, each measuring 30cm×3cm.

Step-by-step explanation:

The area enclosed by the wooden frame can be determined by subtracting the area of the inner rectangle (picture) from the area of the outer rectangle formed by the wooden pieces.

Each wooden piece has dimensions 30 cm by 3 cm. When arranged to form the outer rectangle, the dimensions become:

Length = 2 pieces * 30 cm = 60 cm

Width = 2 pieces * 3 cm = 6 cm

Now, the area of the outer rectangle is given by

Area_outer =Length×Width:

Area_outer =60cm×6cm=360cm^2

The picture (inner rectangle) has dimensions 30 cm by 3 cm, so its area is:

Area_inner =30cm×3cm=90cm^2

The area of the region enclosed by the wooden frame is the difference between the area of the outer rectangle and the area of the inner rectangle:

Area_enclosed =Area_outer −Area_inner

Area_enclosed =360cm^2 −90cm^2 =270cm^2

Therefore, the area of the region enclosed by the wooden frame is 270cm^2.