Aright triangle has an area of 21 m2. the dimensions of the triangle are increased by a scale factor of 4. what is the area of the new triangle

168 meters squared

Step-by-step explanation:

The area of the triangle is A= 1/2 b*h. Here this area is 21 meters squared. The sides of the triangle have been multiplied by 4. This means, if the base was b, it is now 4b. This also means, if the height was h, it is now 4h. So the area is A= 1/2 4b*4h = 1/2 (16bh) = 8bh.

So the area of the larger triangle will be 8 times bigger.

21*8 = 168

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.