📐 geometry

1. **Problem statement:** We need to find the volume of a prism whose cross section is a rhombus with an area of 24 cm² and length (height) of 10 cm. 2. **Formula used:** The volum

1. **Problem Statement:** Find the perimeter of the polygon formed by three hexagons arranged together, where one side length is given as 5.75 meters. The dotted lines represent in

1. **Problem Statement:** Find the perimeter of an equilateral triangle where each side measures 11 inches. 2. **Formula:** The perimeter $P$ of an equilateral triangle is given by

1. **State the problem:** We need to find the perimeter of an irregular polygon shaped like a U with given side lengths: left vertical segment = 6 yd, right vertical segment inside

1. **State the problem:** We need to find the perimeter of a hexagon with side lengths given as 5 inches, 5 inches, 9 inches, 9 inches, 5 inches, and 5 inches. 2. **Recall the form

1. **State the problem:** We need to find the perimeter of a square where each side measures 16 inches. 2. **Formula for perimeter of a square:** The perimeter $P$ of a square is g

1. The problem asks us to identify the polygon shown as an arrow pointing upward and find the sum of the measures of its interior angles. 2. To identify the polygon, count the numb

1. **Problem Statement:** Decide whether the statement "The perimeter of a pentagon is five times the length of one side" is true or false. 2. **Formula for Perimeter of a Polygon:

1. Асуудлыг тодорхойлж эхэлье: ABCD дөрвөн өнцөгт өгөгдсөн ба BC, AD талууд нь тэнцүү урттай. 2. E цэгийг CD шулууны хоёр өөр талд авч, BC = CE = DE гэж өгөгдсөн байна.

1. **State the problem:** We are given a circle with an area of 16 square inches and need to find its diameter. 2. **Formula used:** The area $A$ of a circle is given by the formul

1. **State the problem:** We are given the area of a circle as 35 square feet and need to find the radius. 2. **Formula:** The area $A$ of a circle is given by the formula $$A = \p

1. **State the problem:** We need to find the circumference and the area of a circle with radius $r = 24$ ft, using $\pi \approx 3.14$. 2. **Formulas:**

1. **State the problem:** We need to find the circumference of a circle with a diameter of 24 ft. 2. **Formula:** The circumference $C$ of a circle is given by the formula:

1. **Stating the problem:** We are given a circle with radius $r = 17$ cm.

1. The problem involves finding the circumference and area of a circle with radius $r = 17$ cm. 2. The formulas for a circle are:

1. The problem is to match each construction step with the corresponding picture. 2. Step 1 says: "Place the compass point on P, make an arc that crosses the given line twice. Name

1. **Problem Statement:** How many lines parallel to line $l$ can be drawn through point $P$? 2. **Understanding the problem:** Line $l$ is given, and point $P$ is not on line $l$.

1. The problem involves constructing a specific geometric figure starting with a line $l$ and points $A$ and $P$ as described. 2. Step 1 is to select a point on line $l$ and label

1. The problem is to match the steps for constructing a congruent line segment to their corresponding pictures labeled a, b, c, and d. 2. The steps for copying a line segment are:

1. The problem involves constructing the perpendicular bisector of segment XY. 2. The steps so far are:

1. The problem is to match the steps for constructing a congruent line segment to their corresponding pictures. 2. The steps for copying a line segment using a compass are: