Question

Look at the drawing of a triangle within a rectangle. The triangle and the rectangle have the same base, b, and height, h.

If the area of the triangle is 48 square units, what is the total area of sections 1 and 2?

Answer 1

48

Explanation:

i did the test and got it right

Answer 2

the total area of sections 1 and 2 is 48 square units !

Explanation:

Here we have , The triangle and the rectangle have the same base, b, and height, h. If the area of the triangle is 48 square units,We need to find what is the total area of sections 1 and 2 . Let's find out:

According to question , we have a triangle with same base and height as of rectangle inside a rectangle ! Following are the parameters of rectangle:

`Length= b\\width= h\\`

but , Area of rectangle =
`length(width)` . Also , Area of triangle :

⇒
`(1)/(2) (b)(h) = 48`

⇒
`(b)(h) = 96`

So , Area of rectangle =
`(b)(h) = 96` . Total area of section 1 & 2 is given by :

⇒
`96=48+Area`

⇒
`Area=48`

Therefore , the total area of sections 1 and 2 is 48 square units !