Linda plans to put in wall-to-wall carpet in her bedroom. She measures the dimensions of her bedroom and skectches up the floor
plan shown below. The carpet costs $9.50 per square meter. How much will Linda pay for a wall-to-wall carpet for her bedroom?
1 answer:
The image of the floor dimensions is missing, so i have attached it.
Answer:
$88.92
Step-by-step explanation:
Looking at the attached floor plan, we have to divide it into two parts to solve easily.
To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m
Thus,bigger triangle measures; 3.6m x 2.4m
For the smaller triangle, dimensions are; 0.6m x 1.2m
Area of bigger triangle = 3.6 × 2.4 = 8.64 m²
Area of smaller triangle = 0.6 × 1.2 = 0.72 m²
Total area = 8.64 + 0.72 = 9.36 m²
Since the carpet costs $9.50 per sq.m.
Thus;
Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92
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Answer:
Length of XM is 5.5 units.
Step-by-step explanation:
Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.
A triangle with vertices X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.
YZ=7 units, XZ=11 units and YM=3.5 units
By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.
Hence,
⇒
⇒ MX=5.5 units.
Hence, length of XM is 5.5 units.
