Question

PLEASE HELP How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is (choose) 4,5,8,10 units. The width of the rectangle is (choose) 4,5,8,10 units. The area of the rectangle is (choose) 10,16,20,25 square units.

The area of the triangle is half the area of the rectangle, so the area of the triangle is (choose)
10,16,20,25
square units.

Answer 1

Just add a similar triangle from the opposite side

Then what happens

• Hypotenuse of this triangle becomes common and diagonal of the rectangle.

Now

• Length=L=5
• Breadth=B=4

Area

`\\ \tt\hookrightarrow LB=5(4)=20`

• Area of triangle=20/2=10units^2

Answer 2

Length = 5

Width = 4

Area = 20

Triangle area = 10

Explanation:

The length of the rectangle = the longest leg = 5 units

The width of the rectangle = the shortest leg = 4 units

The area of the rectangle = width x length = 4 x 5 = 20 units²

The area of the triangle = 1/2 the area of the rectangle = 20 ÷ 2 = 10 units²