Question

The diagram shows the dimensions of a deck. A student finds the area by adding 16 ft2 + 48 ft2. Is the student correct? Explain your reasoning.
A deck can be broken into a rectangle and triangle. The rectangle has a base of 8 feet and height of 4 feet. The triangle has a base of 4 feet and height of 2 feet.

Answer 1

Answer:

The student is not correct (see the procedure)

Step-by-step explanation:

we know that

A deck can be broken into a rectangle and triangle

so

The area of the deck is equal to sum the area of a rectangle plus the area of a triangle

Find the area of rectangle

$A=(8)(4)=32\ ft^2$

Find the area of triangle

$A=\frac{1}{2}(4)(2)=4\ ft^2$

Adds the areas

$32+4=36\ ft^2$

therefore

The student is not correct

Answer 2

Answer:No; Break the figure into a rectangle and a triangle. The triangle has a height of 4 ft and a base of 2ft A=1/2bh = 1/2(2)(4) = 1/2(8)= 4. The rectangle is 8 ft by 4 ft, and a=bh= (8)(4)=32.the area is 4+32= 36ft2

Step-by-step explanation: