A restaurant operator in accra has found out that during the partial lockdown, if she sells a plate of her food for GHc20 each, she can sell 300 plates, but for each GHc 5 she raises the price, 10 less plates are sold. Draw a table relating 5 different price levels with their corresponding number of plates bought. Use your table to determine the price in GHc how much she should sell one plate to maximize her revenue

469.4ft²

Step-by-step explanation:

We have ∆ WXY in the above question,

From which we have obtained the following values

Angle W = 27°

Angle X = ?

Angle Y = 40°

Side w =?

Side x = ?

Side y = 38ft

Area of the triangle= ?

Step 1

We find Angle X

We know that the Sum of angles in a triangle = 180°

In the question above, we are given 2 angles

Hence,

Angle X = 180 - ( Angle W + Angle Y)

= 180° - (27 + 40)°

= 180° - 67°

Angle X = 113°

Step 2

Find the sides w and x

We find these sides using the Rule of sines

Rule of Sines =

a/ sin A = b/ Sin B = c/Sin C

Hence for triangle WXY

w/ sin W = x/ sin X = y/ sin Y

We have the following values

Angle W = 27°

Angle X = 113°

Angle Y = 40°

We are given side y = 38ft

Determining side w

w/ sin W= y/ sin Y

w/sin 27 = 38/sin 40

Cross Multiply

sin 27 × 38 = w × sin 40

w = sin 27 × 38/sin 40

w = 26.83879ft

w = 26.84ft

Determining side x

w/ sin W = x/ sin X

26.84/ sin 27 = x/sin 113

Cross Multiply

sin 113 × 26.84 = x × sin 27

x = sin 113 × 26.84/sin 27

x = 54.42041ft

x = 54.42ft

To find the area of triangle WXY

We apply the use of heron formula

= √s(s - w) (s - x) (s - y)

Where S = w + x + y/ 2

s = (38 + 26.84 + 54.42)/2

s = 59.63

Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)

Area of the triangle = √ 220343.61423

Area of the triangle = 469.40772706541ft²

Hence, Approximately to the nearest tenth =469.4yd²