Question

10 ftA4 ftThe following are the dimension of four rectangles. Which rectangle has the same area as the triangle above?a 1.6 ft by 25 ftC. 3.5 ft by 4 ftb. 5 ft by 16 ftd. 0.4 ft by 50 ft

Answer 1

step 1: Find the area of the triangle

The area of the triangle given is:

`\begin{gathered} \text{Area = }(1)/(2)* base* height \\ =(1)/(2)*4*10 \\ =20ft^2 \end{gathered}`

step 2: Find the dimension of rectangles that will give the same area as the triangle

The area of a rectangle is given by:

`\text{Area}=\text{ length x width}`
`\begin{gathered} \text{ option a: }1.6ftx25ft=40ft^2 \\ \text{option b: 5 ft x 16 ft =}80ft^2 \\ \text{option c: }3.5ftx4ft=14ft^2 \\ \text{option d: }0.4\text{ ft x 50 ft=}20ft^2 \end{gathered}`

Therefore, the dimension of the rectangle with the same area as the triangle is

`0.4\text{ ft}*50\text{ ft}`

OptionD is correct