Question

12. A carpenter made two tables. The first table is 4 feet

wide and 10 feet long. The second table is half as long
as the first table. The area of the second tabless one
fourth the area of the first table.
For numbers 12a-12d, select True or False.
12a. The width of the second
table is 2 feet.
True
False
True
False
12b. The area of the second
table is 10 square feet.
12c. The length of the second
table is 8 feet
12d. The area of the first table
is 28 square feet
o True
False
True
False
GO ON

Answer 1

a. True

b. True

c. False

d. False

Explanation:

First Table

Length=10 feet, Width=4 feet

Area =10 X 4=40 Square Feet

Second Table

The second table is half as long as the first table.

Length =0.5 X 10 =5 feet

Area=5 X Width= 5w

The area of the second table is one fourth the area of the first table.

Area of Second Table =
`(1)/(4)` X Area of first table

5w=
`(1)/(4)` X 40

5w=10

Width of the Second table, w=2 feet

The following are true.

(a)The width of the second table is 2 feet.

(b) The area of the second table is 10 square feet.