Question

Saritha will construct a rectangle that has a height of 4 units and an area of up to 48 square units. Which inequality represents all the possible lengths in units of the bases, b, that Saritha can use to construct this rectangle?

Answer 1

H) b ≤ 12

Explanation:

48/4 = 12.

12 is the only one you can divide into 48 equally.

X 48 ÷ 192: Can't do

X 48 ÷ 44: Can't do

X 48 ÷ 52: Can't do

√ 48 ÷ 12 = 4

Answer 2

Given:

Height of rectangle = 4 units

Area of rectangle up to 48 square units.

To find:

The inequality which represents all the possible lengths in units of the bases.

Solution:

Let the possible lengths in units of the bases be b.

Area of rectangle = Length × width

Here, Height of rectangle = width = 4 units. So, area of rectangle is

`Area=b* 4`

`Area=4b`

Area of rectangle up to 48 square units. It means the area should be less than or equal to 48 square units.

`4b\leq 48`

Divide both sides by 4.

`b\leq (48)/(4)`

`b\leq 12`

Length can not be negative or zero.

`0<b\leq 12`

Therefore, the required inequality is
`0<b\leq 12`.