Question

Mary is ordering pizzas for a party in her class.
Larry’s Pizza House makes 14 in $\times$ 14 in square pizzas. Dori's Pizza House has the usual circular pizza, 14 inches in diameter. Kasey's Pizza House offers pizzas in the shapes of right-angled triangles of height 10 in and base 30 in.
All of them are offered at a discounted price of $\$$15.

Find which of the above pizza places offers a better deal.

• A. Larry's Pizza House
• B. Dori's Pizza House
• C. Both Larry and Dori's Pizza Houses
• D. Kasey's Pizza House

Answer 1

The correct option is A Larry's Pizza House

As we know, all the pizza places are offering pizzas at the same price, i.e., $\$$15. We will consider the area of the pizzas to decide the better deal.

$\underset{–}{Larr{y}^{\prime }sPizzaHouse}:$
They offer square pizzas of dimensions 14 in $\times$ 14 in.

Area of square pizza = $14\times 14$
= 196 sq in

$\underset{–}{Dor{i}^{\prime }sPizzaHouse}:$
They offer circular pizzas of diameter 14 in.

Radius, r = $\frac{Diameter}{2}$
= $\frac{14}{2}=7in$
Area of circular pizza = π$r^2$

= $\frac{22\times 7\times 7}{7}$

= 154 sq in

$\underset{–}{Kase{y}^{\prime }sPizzaHouse}:$
They offer pizzas in the shape of right-angled triangles of height 10 in and base 30 in.

Area of triangular pizza = $\frac{1}{2}\times Height\times Base$
= $\frac{1}{2}\times 10\times 30$

= 150 sq in

Let us compare the areas of the pizzas.

Larry's Pizza House = 196 sq in
Dori's Pizza House = 154 sq in
Kasey's Pizza House = 150 sq in

196 sq in > 154 sq in > 150 sq in
i.e.,
Area of Larry's pizza > Area of Dori's pizza > Area of Kasey's pizza

Thus, Mary gets a better deal from Larry's Pizza House.