Question

Ordan is cutting a 2 m 2 m2, start text, space, m, end text by 1 1 4 m 1 4 1 ​ m1, start fraction, 1, divided by, 4, end fraction, start text, space, m, end text piece of rectangular paper into two pieces along its diagonal. Find the area of each of the pieces. m 2 m

Answer 1

5/4 m²

Explanation:

Jordan is cutting 2 m by 1 1/4 m piece of rectangular paper into 2 pieces along its diagonal.What is the area of each of the pieces.

Length of the rectangular paper = 2m

width of the rectangular paper = 1 1/4m

Area of a rectangle = Length × width

= 2 × 1 1/4

= 2 × 5/4

= (2 * 5)/4

= 10/4 m²

Area of a rectangle = 10/4 m²

Diagonal divides the rectangle into 2 equal pieces

Divide area of the rectangle by 2

Area of each piece of the diagonal = Area of the rectangle / 2

= 10/4 m² / 2

= 10/4 ÷ 2

= 10/4 × 1/2

= (10*1) / (4*2)

= 10/8

= 5/4 m²

Area of each piece of the diagonal = 5/4 m²