The shape of Joy’s room is a rectangle 540 cm long by 250 cm wide. a. Work out the area of his room in Square meters.
b. How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter.

The shape of Joy’s room is a rectangle 540 cm long by 250 cm wide.

a. Work out the area of his room in Square meters.

b. How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

Work out the area of his room in Square meters.

We know that:-

Area of a rectangle = (length × breadth)sq.units

Therefore,

Area of the rectangular room = (5.4 × 2.5) square meters

=> Area of the rectangular room = 13.5 square meters.

Area of his room is 13.5 square meters.

How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

Flooring cost in 1 squre meter = $40

Flooring cost in 13.5 square meters = $(40 × 13.5) = $540

He pays $540 to buy flooring for his room.

Hope this helps you!! (^_^)

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).