Question

Gavin is moving into a new apartment that has a kitchen with an area of 50 square feet. If the area of the kitchen is 10 square feet more than 1/3 the area of the bedroom, what is the area of the bedroom?

Complete the steps below to find the area of Gavin’s bedroom.

Part A
Let the variable b represent the area of the bedroom. Write an equation in terms of b to represent Gavin’s situation.

Answer 1

Step-by-step explanation:

Given,

area of the kitchen = 50 sq.ft

let,

Area of the bedroom be b.

We know,

ar(kitchen) = 1/3b + 10

=> 50 - 10 = 1/3 × b

=> 40 × 3 = b

.°. b = 120 sq.ft

.°. Area of the bedroom = 120 sq.ft