145k views
4 votes
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?

User Tutts
by
7.1k points

2 Answers

6 votes

Answer:

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

User Kooskoos
by
7.9k points
0 votes

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.

User Thomas Matthews
by
8.0k points