Question

Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? (3 points) An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet. x______=ft

Answer 1

Answer:

x = 23 feet

Formula:

Area of a Triangle = $\frac{Height X breadth }{2}$

Area of a Rectangle = Surface Area - Area of a Triangle

Step-by-step explanation:

Given:

Rectangle:

Width = 6 feet

Length = X

Triangle:

Height = 6 feet

Base = 4 feet

Total surface Area = 150 feet²

Using the Formula:  $\frac{Height X breadth }{2}$

6 feet * 4 feet ÷ 2 = 12 feet²

Using the formula:  Surface Area - Area of a Triangle

Area = 150 feet² - 12 feet² = 138 feet²

138 feet² = x * 6 feet

138 feet² / 6 feet = x

23 feet = x.

Hope This Helps You

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