A fabric wall hanging is in the shape of a triangle that has a base of 4 ft and a height of 6 ft. An additional 1 ft2 of fabric is needed for hemming the material. How much fabric (in ft2) should be purchased to make the wall hanging?

Answer 1

The area of a triangle is given by the formula A = 1/2 * base * height.

In this case, the base of the triangle is 4 ft and the height is 6 ft. Therefore, the area of the triangle is:
A = 1/2 * 4 ft * 6 ft
A = 12 ft

But, since an additional 1 ft² of fabric is needed for hemming, the total fabric needed for the wall hanging is:
Total fabric = Area of triangle + Additional fabric for hemming
Total fabric = 12 ft² + 1 ft²
Total fabric = 13 ft²

Therefore, 13 ft² of fabric should be purchased to make the wall hanging.