Math Problem Statement

A rectangle has a length of (5 + 2x) inches and a width of 10 inches. A triangle has a base of 30 inches and a height of (4x – 10) inches. The area in square inches of the rectangle is equal to the area in square inches of the triangle.

What is the value of x?

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Equations
Geometry
Area

Formulas

Area of a rectangle = length × width
Area of a triangle = 1/2 × base × height

Theorems

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Suitable Grade Level

Grades 8-10