The perimeter of a rectangular table is 132 inches the length of the table is 1 3/4 times its width what is the area of the table

Question

asked Dec 28, 2020 224k views

1 Answer

Chirag Kothari · Answer 1 · 2021-01-03T09:30:45+0000

Answer:

The area of the table is
$1,008\ in^(2)$

Explanation:

Let

x----> the length of the rectangular table

y---> the width of the rectangular table

we know that

The perimeter is equal to

P=2(x+y)

$P=132\ in$

so

132=2(x+y)

66=x+y ------> equation A

x=1(3)/(4)y

x=(1*4+3)/(4)y

x=(7)/(4)y ---> equation B

substitute equation B in equation A and solve for y

66=(7)/(4)y+y

66=(11)/(4)y

$y=66*4/11=24\ in$

Find the value of x

$x=(7)/(4)(24)=42\ in$

Find the area of the table

The area is equal to

$A=xy=(42)(24)=1,008\ in^(2)$