📐 geometry

1. **Problem Statement:** You want to calculate the area of two chosen putting green designs from three options: The Teardrop, The Point, and The Half Circle.

1. **State the problem:** We have a right triangle with vertices at (0,0), (4,4), and a point on the x-axis (4,0). A square is inscribed inside this triangle such that its bottom l

1. **Stating the problem:** We are asked to find the approximate area of a shape drawn on a grid where each square measures 1 cm by 1 cm. 2. **Understanding the problem:** The shap

1. **State the problem:** Find the surface area of a square pyramid with side length $1$ ft and slant height $4$ ft. 2. **Formula for surface area of a square pyramid:**

1. **State the problem:** Find the surface area of a square pyramid with base side length $5$ m and slant height $6$ m. 2. **Formula:** The surface area $A$ of a square pyramid is

1. **State the problem:** Find the surface area of a square pyramid with base side length $5$ cm and slant height $6$ cm. 2. **Formula:** The surface area $S$ of a square pyramid i

1. **State the problem:** Find the surface area of a square pyramid with base side length $2$ cm and slant height $5$ cm. 2. **Formula:** The surface area $A$ of a square pyramid i

1. **State the problem:** Find the surface area of a square pyramid with base side length $1$ ft and slant height $5$ ft. 2. **Formula:** The surface area $A$ of a square pyramid i

1. The problem is to find the surface area of a rectangular prism with dimensions 3 ft, 2 ft, and 5 ft. 2. The formula for the surface area $SA$ of a rectangular prism with length

1. The problem is to find the surface area of a rectangular prism with length $2$ inches, width $1$ inch, and height $1$ inch. 2. The formula for the surface area $S$ of a rectangu

1. **Problem Statement:** (i) Starting from a right triangle with sides 1, 1, and $\sqrt{2}$, construct $\sqrt{3}$ using straightedge and compass.

1. **State the problem:** Find the surface area of a rectangular prism with dimensions 8 miles (height), 5 miles (depth), and 6 miles (width). 2. **Formula:** The surface area $SA$

1. **State the problem:** Find the surface area of a rectangular prism with dimensions 7 yd (height), 2 yd (width), and 1 yd (depth). 2. **Formula:** The surface area $SA$ of a rec

1. **State the problem:** Find the surface area of a rectangular prism with dimensions length $l=5$ km, width $w=3$ km, and height $h=4$ km. 2. **Formula:** The surface area $SA$ o

1. The problem describes a circle centered at $(2,3)$ with radius $2$ units. 2. The general equation of a circle with center $(h,k)$ and radius $r$ is:

1. **State the problem:** We are given the areas of the faces of a rectangular prism and need to find its dimensions (length, width, height). 2. **Recall the formula:** The surface

1. **State the problem:** We are given the areas of the faces of a rectangular prism's net and need to find its dimensions (length, width, height). 2. **Identify the faces and thei

1. **State the problem:** We are given the areas of the faces of a rectangular prism's net: two faces of 40 cm², two faces of 32 cm², and two faces of 20 cm². We need to find the d

1. **State the problem:** We need to find the area of triangle $\triangle KLM$ with base $KM = 42$ feet and height from $L$ to $KM$ as $24$ feet. 2. **Formula for area of a triangl

1. **State the problem:** We have a net of a right rectangular prism with some face areas given and some missing. The total surface area is 396 ft². We need to find the area of the

1. **State the problem:** We have a net of a right rectangular prism with some face areas and dimensions given. The total surface area is 340 m². We need to find the area of the mi